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Finding the Third Proportional to 460,743 and 687,561

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Solution

The third proportional to 460,743 and 687,561 is: 1,026,038.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,743 : 687,561 = 687,561 : x
  2. Step 2: Convert to fraction form
    460,743/687,561 = 687,561/x
  3. Step 3: Cross multiply
    460,743x = 687,561 × 687,561
  4. Step 4: Simplify right side
    460,743x = 472,740,128,721
  5. Step 5: Solve for x
    x = 472,740,128,721/460,743
  6. Step 6: Final answer
    x = 1,026,038.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.