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Finding the Third Proportional to 172,521.98 and 261,886.92

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Solution

The third proportional to 172,521.98 and 261,886.92 is: 397,542.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,521.98 : 261,886.92 = 261,886.92 : x
  2. Step 2: Convert to fraction form
    172,521.98/261,886.92 = 261,886.92/x
  3. Step 3: Cross multiply
    172,521.98x = 261,886.92 × 261,886.92
  4. Step 4: Simplify right side
    172,521.98x = 68,584,759,849.16
  5. Step 5: Solve for x
    x = 68,584,759,849.16/172,521.98
  6. Step 6: Final answer
    x = 397,542.15

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.