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Finding the Third Proportional to 207,720 and 325,432

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Solution

The third proportional to 207,720 and 325,432 is: 509,849.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,720 : 325,432 = 325,432 : x
  2. Step 2: Convert to fraction form
    207,720/325,432 = 325,432/x
  3. Step 3: Cross multiply
    207,720x = 325,432 × 325,432
  4. Step 4: Simplify right side
    207,720x = 105,905,986,624
  5. Step 5: Solve for x
    x = 105,905,986,624/207,720
  6. Step 6: Final answer
    x = 509,849.73

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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.