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Finding the Third Proportional to 172,499.63 and 261,862.88

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Solution

The third proportional to 172,499.63 and 261,862.88 is: 397,520.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,499.63 : 261,862.88 = 261,862.88 : x
  2. Step 2: Convert to fraction form
    172,499.63/261,862.88 = 261,862.88/x
  3. Step 3: Cross multiply
    172,499.63x = 261,862.88 × 261,862.88
  4. Step 4: Simplify right side
    172,499.63x = 68,572,165,303.27
  5. Step 5: Solve for x
    x = 68,572,165,303.27/172,499.63
  6. Step 6: Final answer
    x = 397,520.66

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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.