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Finding the Third Proportional to 458,460 and 687,690

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Solution

The third proportional to 458,460 and 687,690 is: 1,031,535

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,460 : 687,690 = 687,690 : x
  2. Step 2: Convert to fraction form
    458,460/687,690 = 687,690/x
  3. Step 3: Cross multiply
    458,460x = 687,690 × 687,690
  4. Step 4: Simplify right side
    458,460x = 472,917,536,100
  5. Step 5: Solve for x
    x = 472,917,536,100/458,460
  6. Step 6: Final answer
    x = 1,031,535

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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.