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Finding the Third Proportional to 482,390 and 709,132

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Solution

The third proportional to 482,390 and 709,132 is: 1,042,451.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,390 : 709,132 = 709,132 : x
  2. Step 2: Convert to fraction form
    482,390/709,132 = 709,132/x
  3. Step 3: Cross multiply
    482,390x = 709,132 × 709,132
  4. Step 4: Simplify right side
    482,390x = 502,868,193,424
  5. Step 5: Solve for x
    x = 502,868,193,424/482,390
  6. Step 6: Final answer
    x = 1,042,451.53

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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.