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Finding the Third Proportional to 207,558 and 322,038

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Solution

The third proportional to 207,558 and 322,038 is: 499,660.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,558 : 322,038 = 322,038 : x
  2. Step 2: Convert to fraction form
    207,558/322,038 = 322,038/x
  3. Step 3: Cross multiply
    207,558x = 322,038 × 322,038
  4. Step 4: Simplify right side
    207,558x = 103,708,473,444
  5. Step 5: Solve for x
    x = 103,708,473,444/207,558
  6. Step 6: Final answer
    x = 499,660.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.