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Finding the Third Proportional to 459,898 and 687,013

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Solution

The third proportional to 459,898 and 687,013 is: 1,026,285.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,898 : 687,013 = 687,013 : x
  2. Step 2: Convert to fraction form
    459,898/687,013 = 687,013/x
  3. Step 3: Cross multiply
    459,898x = 687,013 × 687,013
  4. Step 4: Simplify right side
    459,898x = 471,986,862,169
  5. Step 5: Solve for x
    x = 471,986,862,169/459,898
  6. Step 6: Final answer
    x = 1,026,285.96

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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.