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Finding the Third Proportional to 148,726.50 and 239,421

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Solution

The third proportional to 148,726.50 and 239,421 is: 385,421.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,726.50 : 239,421 = 239,421 : x
  2. Step 2: Convert to fraction form
    148,726.50/239,421 = 239,421/x
  3. Step 3: Cross multiply
    148,726.50x = 239,421 × 239,421
  4. Step 4: Simplify right side
    148,726.50x = 57,322,415,241
  5. Step 5: Solve for x
    x = 57,322,415,241/148,726.50
  6. Step 6: Final answer
    x = 385,421.66

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.