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Finding the Third Proportional to 147,959 and 209,359

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Solution

The third proportional to 147,959 and 209,359 is: 296,238.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,959 : 209,359 = 209,359 : x
  2. Step 2: Convert to fraction form
    147,959/209,359 = 209,359/x
  3. Step 3: Cross multiply
    147,959x = 209,359 × 209,359
  4. Step 4: Simplify right side
    147,959x = 43,831,190,881
  5. Step 5: Solve for x
    x = 43,831,190,881/147,959
  6. Step 6: Final answer
    x = 296,238.76

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.