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Finding the Third Proportional to 498,450 and 783,387

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Solution

The third proportional to 498,450 and 783,387 is: 1,231,207.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,450 : 783,387 = 783,387 : x
  2. Step 2: Convert to fraction form
    498,450/783,387 = 783,387/x
  3. Step 3: Cross multiply
    498,450x = 783,387 × 783,387
  4. Step 4: Simplify right side
    498,450x = 613,695,191,769
  5. Step 5: Solve for x
    x = 613,695,191,769/498,450
  6. Step 6: Final answer
    x = 1,231,207.13

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.