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Finding the Third Proportional to 147,939 and 240,351

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Solution

The third proportional to 147,939 and 240,351 is: 390,489.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,939 : 240,351 = 240,351 : x
  2. Step 2: Convert to fraction form
    147,939/240,351 = 240,351/x
  3. Step 3: Cross multiply
    147,939x = 240,351 × 240,351
  4. Step 4: Simplify right side
    147,939x = 57,768,603,201
  5. Step 5: Solve for x
    x = 57,768,603,201/147,939
  6. Step 6: Final answer
    x = 390,489.34

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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.