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Finding the Third Proportional to 543,213,159 and 861,569,709

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Solution

The third proportional to 543,213,159 and 861,569,709 is: 1,366,502,911.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,213,159 : 861,569,709 = 861,569,709 : x
  2. Step 2: Convert to fraction form
    543,213,159/861,569,709 = 861,569,709/x
  3. Step 3: Cross multiply
    543,213,159x = 861,569,709 × 861,569,709
  4. Step 4: Simplify right side
    543,213,159x = 742,302,363,466,344,704
  5. Step 5: Solve for x
    x = 742,302,363,466,344,704/543,213,159
  6. Step 6: Final answer
    x = 1,366,502,911.74

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.