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Finding the Third Proportional to 129,250 and 282,502

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Solution

The third proportional to 129,250 and 282,502 is: 617,465.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,250 : 282,502 = 282,502 : x
  2. Step 2: Convert to fraction form
    129,250/282,502 = 282,502/x
  3. Step 3: Cross multiply
    129,250x = 282,502 × 282,502
  4. Step 4: Simplify right side
    129,250x = 79,807,380,004
  5. Step 5: Solve for x
    x = 79,807,380,004/129,250
  6. Step 6: Final answer
    x = 617,465.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.