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Finding the Third Proportional to 121,847 and 282,053

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Solution

The third proportional to 121,847 and 282,053 is: 652,899.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,847 : 282,053 = 282,053 : x
  2. Step 2: Convert to fraction form
    121,847/282,053 = 282,053/x
  3. Step 3: Cross multiply
    121,847x = 282,053 × 282,053
  4. Step 4: Simplify right side
    121,847x = 79,553,894,809
  5. Step 5: Solve for x
    x = 79,553,894,809/121,847
  6. Step 6: Final answer
    x = 652,899.91

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.