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Finding the Third Proportional to 81,285.19 and 172,411.88

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Solution

The third proportional to 81,285.19 and 172,411.88 is: 365,698.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,285.19 : 172,411.88 = 172,411.88 : x
  2. Step 2: Convert to fraction form
    81,285.19/172,411.88 = 172,411.88/x
  3. Step 3: Cross multiply
    81,285.19x = 172,411.88 × 172,411.88
  4. Step 4: Simplify right side
    81,285.19x = 29,725,854,641.02
  5. Step 5: Solve for x
    x = 29,725,854,641.02/81,285.19
  6. Step 6: Final answer
    x = 365,698.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.