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Finding the Third Proportional to 178,931 and 391,518

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Solution

The third proportional to 178,931 and 391,518 is: 856,678.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,931 : 391,518 = 391,518 : x
  2. Step 2: Convert to fraction form
    178,931/391,518 = 391,518/x
  3. Step 3: Cross multiply
    178,931x = 391,518 × 391,518
  4. Step 4: Simplify right side
    178,931x = 153,286,344,324
  5. Step 5: Solve for x
    x = 153,286,344,324/178,931
  6. Step 6: Final answer
    x = 856,678.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.