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Finding the Third Proportional to 150,179 and 209,959

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Solution

The third proportional to 150,179 and 209,959 is: 293,534.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,179 : 209,959 = 209,959 : x
  2. Step 2: Convert to fraction form
    150,179/209,959 = 209,959/x
  3. Step 3: Cross multiply
    150,179x = 209,959 × 209,959
  4. Step 4: Simplify right side
    150,179x = 44,082,781,681
  5. Step 5: Solve for x
    x = 44,082,781,681/150,179
  6. Step 6: Final answer
    x = 293,534.93

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.