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Finding the Third Proportional to 129,435,586 and 278,081,781

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Solution

The third proportional to 129,435,586 and 278,081,781 is: 597,435,985.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,435,586 : 278,081,781 = 278,081,781 : x
  2. Step 2: Convert to fraction form
    129,435,586/278,081,781 = 278,081,781/x
  3. Step 3: Cross multiply
    129,435,586x = 278,081,781 × 278,081,781
  4. Step 4: Simplify right side
    129,435,586x = 77,329,476,924,131,968
  5. Step 5: Solve for x
    x = 77,329,476,924,131,968/129,435,586
  6. Step 6: Final answer
    x = 597,435,985.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.