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Finding the Third Proportional to 176,157 and 272,979

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Solution

The third proportional to 176,157 and 272,979 is: 423,017.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,157 : 272,979 = 272,979 : x
  2. Step 2: Convert to fraction form
    176,157/272,979 = 272,979/x
  3. Step 3: Cross multiply
    176,157x = 272,979 × 272,979
  4. Step 4: Simplify right side
    176,157x = 74,517,534,441
  5. Step 5: Solve for x
    x = 74,517,534,441/176,157
  6. Step 6: Final answer
    x = 423,017.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.