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Finding the Third Proportional to 322,515 and 687,804

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Solution

The third proportional to 322,515 and 687,804 is: 1,466,828.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,515 : 687,804 = 687,804 : x
  2. Step 2: Convert to fraction form
    322,515/687,804 = 687,804/x
  3. Step 3: Cross multiply
    322,515x = 687,804 × 687,804
  4. Step 4: Simplify right side
    322,515x = 473,074,342,416
  5. Step 5: Solve for x
    x = 473,074,342,416/322,515
  6. Step 6: Final answer
    x = 1,466,828.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.