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Finding the Third Proportional to 177,520 and 386,386

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Solution

The third proportional to 177,520 and 386,386 is: 840,998.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,520 : 386,386 = 386,386 : x
  2. Step 2: Convert to fraction form
    177,520/386,386 = 386,386/x
  3. Step 3: Cross multiply
    177,520x = 386,386 × 386,386
  4. Step 4: Simplify right side
    177,520x = 149,294,140,996
  5. Step 5: Solve for x
    x = 149,294,140,996/177,520
  6. Step 6: Final answer
    x = 840,998.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.