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Finding the Third Proportional to 142,691.63 and 221,251.50

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Solution

The third proportional to 142,691.63 and 221,251.50 is: 343,063.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,691.63 : 221,251.50 = 221,251.50 : x
  2. Step 2: Convert to fraction form
    142,691.63/221,251.50 = 221,251.50/x
  3. Step 3: Cross multiply
    142,691.63x = 221,251.50 × 221,251.50
  4. Step 4: Simplify right side
    142,691.63x = 48,952,226,252.25
  5. Step 5: Solve for x
    x = 48,952,226,252.25/142,691.63
  6. Step 6: Final answer
    x = 343,063.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.