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Finding the Third Proportional to 187,938 and 391,428

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Solution

The third proportional to 187,938 and 391,428 is: 815,246.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,938 : 391,428 = 391,428 : x
  2. Step 2: Convert to fraction form
    187,938/391,428 = 391,428/x
  3. Step 3: Cross multiply
    187,938x = 391,428 × 391,428
  4. Step 4: Simplify right side
    187,938x = 153,215,879,184
  5. Step 5: Solve for x
    x = 153,215,879,184/187,938
  6. Step 6: Final answer
    x = 815,246.94

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.