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Finding the Third Proportional to 140,940 and 215,875.13

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Solution

The third proportional to 140,940 and 215,875.13 is: 330,651.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,940 : 215,875.13 = 215,875.13 : x
  2. Step 2: Convert to fraction form
    140,940/215,875.13 = 215,875.13/x
  3. Step 3: Cross multiply
    140,940x = 215,875.13 × 215,875.13
  4. Step 4: Simplify right side
    140,940x = 46,602,069,593.77
  5. Step 5: Solve for x
    x = 46,602,069,593.77/140,940
  6. Step 6: Final answer
    x = 330,651.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.