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Finding the Third Proportional to 142,882 and 305,448

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Solution

The third proportional to 142,882 and 305,448 is: 652,975.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,882 : 305,448 = 305,448 : x
  2. Step 2: Convert to fraction form
    142,882/305,448 = 305,448/x
  3. Step 3: Cross multiply
    142,882x = 305,448 × 305,448
  4. Step 4: Simplify right side
    142,882x = 93,298,480,704
  5. Step 5: Solve for x
    x = 93,298,480,704/142,882
  6. Step 6: Final answer
    x = 652,975.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.