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Finding the Third Proportional to 378,159,984 and 822,577,320

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Solution

The third proportional to 378,159,984 and 822,577,320 is: 1,789,278,284.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,159,984 : 822,577,320 = 822,577,320 : x
  2. Step 2: Convert to fraction form
    378,159,984/822,577,320 = 822,577,320/x
  3. Step 3: Cross multiply
    378,159,984x = 822,577,320 × 822,577,320
  4. Step 4: Simplify right side
    378,159,984x = 676,633,447,378,382,336
  5. Step 5: Solve for x
    x = 676,633,447,378,382,336/378,159,984
  6. Step 6: Final answer
    x = 1,789,278,284.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.