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Finding the Third Proportional to 482,480.50 and 709,686

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Solution

The third proportional to 482,480.50 and 709,686 is: 1,043,885.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,480.50 : 709,686 = 709,686 : x
  2. Step 2: Convert to fraction form
    482,480.50/709,686 = 709,686/x
  3. Step 3: Cross multiply
    482,480.50x = 709,686 × 709,686
  4. Step 4: Simplify right side
    482,480.50x = 503,654,218,596
  5. Step 5: Solve for x
    x = 503,654,218,596/482,480.50
  6. Step 6: Final answer
    x = 1,043,885.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.