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Finding the Third Proportional to 136,129 and 312,452

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Solution

The third proportional to 136,129 and 312,452 is: 717,159.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,129 : 312,452 = 312,452 : x
  2. Step 2: Convert to fraction form
    136,129/312,452 = 312,452/x
  3. Step 3: Cross multiply
    136,129x = 312,452 × 312,452
  4. Step 4: Simplify right side
    136,129x = 97,626,252,304
  5. Step 5: Solve for x
    x = 97,626,252,304/136,129
  6. Step 6: Final answer
    x = 717,159.84

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.