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Finding the Third Proportional to 129,448 and 282,430

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Solution

The third proportional to 129,448 and 282,430 is: 616,206.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,448 : 282,430 = 282,430 : x
  2. Step 2: Convert to fraction form
    129,448/282,430 = 282,430/x
  3. Step 3: Cross multiply
    129,448x = 282,430 × 282,430
  4. Step 4: Simplify right side
    129,448x = 79,766,704,900
  5. Step 5: Solve for x
    x = 79,766,704,900/129,448
  6. Step 6: Final answer
    x = 616,206.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.