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Finding the Third Proportional to 147,938 and 240,350

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Solution

The third proportional to 147,938 and 240,350 is: 390,488.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,938 : 240,350 = 240,350 : x
  2. Step 2: Convert to fraction form
    147,938/240,350 = 240,350/x
  3. Step 3: Cross multiply
    147,938x = 240,350 × 240,350
  4. Step 4: Simplify right side
    147,938x = 57,768,122,500
  5. Step 5: Solve for x
    x = 57,768,122,500/147,938
  6. Step 6: Final answer
    x = 390,488.74

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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.