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Finding the Third Proportional to 513,688 and 681,606

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Solution

The third proportional to 513,688 and 681,606 is: 904,414.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,688 : 681,606 = 681,606 : x
  2. Step 2: Convert to fraction form
    513,688/681,606 = 681,606/x
  3. Step 3: Cross multiply
    513,688x = 681,606 × 681,606
  4. Step 4: Simplify right side
    513,688x = 464,586,739,236
  5. Step 5: Solve for x
    x = 464,586,739,236/513,688
  6. Step 6: Final answer
    x = 904,414.23

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.