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Finding the Third Proportional to 81,712 and 177,248

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Solution

The third proportional to 81,712 and 177,248 is: 384,482.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,712 : 177,248 = 177,248 : x
  2. Step 2: Convert to fraction form
    81,712/177,248 = 177,248/x
  3. Step 3: Cross multiply
    81,712x = 177,248 × 177,248
  4. Step 4: Simplify right side
    81,712x = 31,416,853,504
  5. Step 5: Solve for x
    x = 31,416,853,504/81,712
  6. Step 6: Final answer
    x = 384,482.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.