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Finding the Third Proportional to 532,276,108 and 1,164,894,304

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Solution

The third proportional to 532,276,108 and 1,164,894,304 is: 2,549,388,783.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,276,108 : 1,164,894,304 = 1,164,894,304 : x
  2. Step 2: Convert to fraction form
    532,276,108/1,164,894,304 = 1,164,894,304/x
  3. Step 3: Cross multiply
    532,276,108x = 1,164,894,304 × 1,164,894,304
  4. Step 4: Simplify right side
    532,276,108x = 1,356,978,739,491,644,416
  5. Step 5: Solve for x
    x = 1,356,978,739,491,644,416/532,276,108
  6. Step 6: Final answer
    x = 2,549,388,783.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.