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Finding the Third Proportional to 136,290 and 318,347

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Solution

The third proportional to 136,290 and 318,347 is: 743,596.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,290 : 318,347 = 318,347 : x
  2. Step 2: Convert to fraction form
    136,290/318,347 = 318,347/x
  3. Step 3: Cross multiply
    136,290x = 318,347 × 318,347
  4. Step 4: Simplify right side
    136,290x = 101,344,812,409
  5. Step 5: Solve for x
    x = 101,344,812,409/136,290
  6. Step 6: Final answer
    x = 743,596.83

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.