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Finding the Third Proportional to 175,070 and 266,979

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Solution

The third proportional to 175,070 and 266,979 is: 407,138.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,070 : 266,979 = 266,979 : x
  2. Step 2: Convert to fraction form
    175,070/266,979 = 266,979/x
  3. Step 3: Cross multiply
    175,070x = 266,979 × 266,979
  4. Step 4: Simplify right side
    175,070x = 71,277,786,441
  5. Step 5: Solve for x
    x = 71,277,786,441/175,070
  6. Step 6: Final answer
    x = 407,138.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.