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Finding the Third Proportional to 178,070 and 391,130

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Solution

The third proportional to 178,070 and 391,130 is: 859,115.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,070 : 391,130 = 391,130 : x
  2. Step 2: Convert to fraction form
    178,070/391,130 = 391,130/x
  3. Step 3: Cross multiply
    178,070x = 391,130 × 391,130
  4. Step 4: Simplify right side
    178,070x = 152,982,676,900
  5. Step 5: Solve for x
    x = 152,982,676,900/178,070
  6. Step 6: Final answer
    x = 859,115.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.