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Finding the Third Proportional to 147,940 and 240,352

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Solution

The third proportional to 147,940 and 240,352 is: 390,489.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,940 : 240,352 = 240,352 : x
  2. Step 2: Convert to fraction form
    147,940/240,352 = 240,352/x
  3. Step 3: Cross multiply
    147,940x = 240,352 × 240,352
  4. Step 4: Simplify right side
    147,940x = 57,769,083,904
  5. Step 5: Solve for x
    x = 57,769,083,904/147,940
  6. Step 6: Final answer
    x = 390,489.95

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.