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Finding the Third Proportional to 136,953 and 217,309

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Solution

The third proportional to 136,953 and 217,309 is: 344,813.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,953 : 217,309 = 217,309 : x
  2. Step 2: Convert to fraction form
    136,953/217,309 = 217,309/x
  3. Step 3: Cross multiply
    136,953x = 217,309 × 217,309
  4. Step 4: Simplify right side
    136,953x = 47,223,201,481
  5. Step 5: Solve for x
    x = 47,223,201,481/136,953
  6. Step 6: Final answer
    x = 344,813.19

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.