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Finding the Third Proportional to 188,080 and 391,712

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Solution

The third proportional to 188,080 and 391,712 is: 815,813.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,080 : 391,712 = 391,712 : x
  2. Step 2: Convert to fraction form
    188,080/391,712 = 391,712/x
  3. Step 3: Cross multiply
    188,080x = 391,712 × 391,712
  4. Step 4: Simplify right side
    188,080x = 153,438,290,944
  5. Step 5: Solve for x
    x = 153,438,290,944/188,080
  6. Step 6: Final answer
    x = 815,813.97

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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.