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Finding the Third Proportional to 136,351 and 318,459

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Solution

The third proportional to 136,351 and 318,459 is: 743,787.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,351 : 318,459 = 318,459 : x
  2. Step 2: Convert to fraction form
    136,351/318,459 = 318,459/x
  3. Step 3: Cross multiply
    136,351x = 318,459 × 318,459
  4. Step 4: Simplify right side
    136,351x = 101,416,134,681
  5. Step 5: Solve for x
    x = 101,416,134,681/136,351
  6. Step 6: Final answer
    x = 743,787.25

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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.