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Finding the Third Proportional to 187,412 and 288,286.50

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Solution

The third proportional to 187,412 and 288,286.50 is: 443,456.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,412 : 288,286.50 = 288,286.50 : x
  2. Step 2: Convert to fraction form
    187,412/288,286.50 = 288,286.50/x
  3. Step 3: Cross multiply
    187,412x = 288,286.50 × 288,286.50
  4. Step 4: Simplify right side
    187,412x = 83,109,106,082.25
  5. Step 5: Solve for x
    x = 83,109,106,082.25/187,412
  6. Step 6: Final answer
    x = 443,456.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.