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Finding the Third Proportional to 344,688 and 517,397

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Solution

The third proportional to 344,688 and 517,397 is: 776,643.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,688 : 517,397 = 517,397 : x
  2. Step 2: Convert to fraction form
    344,688/517,397 = 517,397/x
  3. Step 3: Cross multiply
    344,688x = 517,397 × 517,397
  4. Step 4: Simplify right side
    344,688x = 267,699,655,609
  5. Step 5: Solve for x
    x = 267,699,655,609/344,688
  6. Step 6: Final answer
    x = 776,643.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.