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Finding the Third Proportional to 461,696 and 690,688

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Solution

The third proportional to 461,696 and 690,688 is: 1,033,255.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,696 : 690,688 = 690,688 : x
  2. Step 2: Convert to fraction form
    461,696/690,688 = 690,688/x
  3. Step 3: Cross multiply
    461,696x = 690,688 × 690,688
  4. Step 4: Simplify right side
    461,696x = 477,049,913,344
  5. Step 5: Solve for x
    x = 477,049,913,344/461,696
  6. Step 6: Final answer
    x = 1,033,255.46

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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.