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Finding the Third Proportional to 136,499 and 210,581

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Solution

The third proportional to 136,499 and 210,581 is: 324,869.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,499 : 210,581 = 210,581 : x
  2. Step 2: Convert to fraction form
    136,499/210,581 = 210,581/x
  3. Step 3: Cross multiply
    136,499x = 210,581 × 210,581
  4. Step 4: Simplify right side
    136,499x = 44,344,357,561
  5. Step 5: Solve for x
    x = 44,344,357,561/136,499
  6. Step 6: Final answer
    x = 324,869.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.