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Finding the Third Proportional to 187,965 and 391,482

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Solution

The third proportional to 187,965 and 391,482 is: 815,354.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,965 : 391,482 = 391,482 : x
  2. Step 2: Convert to fraction form
    187,965/391,482 = 391,482/x
  3. Step 3: Cross multiply
    187,965x = 391,482 × 391,482
  4. Step 4: Simplify right side
    187,965x = 153,258,156,324
  5. Step 5: Solve for x
    x = 153,258,156,324/187,965
  6. Step 6: Final answer
    x = 815,354.75

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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.