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Finding the Third Proportional to 177,808 and 272,655

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Solution

The third proportional to 177,808 and 272,655 is: 418,095.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,808 : 272,655 = 272,655 : x
  2. Step 2: Convert to fraction form
    177,808/272,655 = 272,655/x
  3. Step 3: Cross multiply
    177,808x = 272,655 × 272,655
  4. Step 4: Simplify right side
    177,808x = 74,340,749,025
  5. Step 5: Solve for x
    x = 74,340,749,025/177,808
  6. Step 6: Final answer
    x = 418,095.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.