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Finding the Third Proportional to 592,752,944,376 and 799,762,890,348

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Solution

The third proportional to 592,752,944,376 and 799,762,890,348 is: 1,079,067,909,904.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,752,944,376 : 799,762,890,348 = 799,762,890,348 : x
  2. Step 2: Convert to fraction form
    592,752,944,376/799,762,890,348 = 799,762,890,348/x
  3. Step 3: Cross multiply
    592,752,944,376x = 799,762,890,348 × 799,762,890,348
  4. Step 4: Simplify right side
    592,752,944,376x = 639,620,680,777,787,055,800,320
  5. Step 5: Solve for x
    x = 639,620,680,777,787,055,800,320/592,752,944,376
  6. Step 6: Final answer
    x = 1,079,067,909,904.90

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.