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Finding the Third Proportional to 136,129.50 and 312,454.50

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Solution

The third proportional to 136,129.50 and 312,454.50 is: 717,168.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,129.50 : 312,454.50 = 312,454.50 : x
  2. Step 2: Convert to fraction form
    136,129.50/312,454.50 = 312,454.50/x
  3. Step 3: Cross multiply
    136,129.50x = 312,454.50 × 312,454.50
  4. Step 4: Simplify right side
    136,129.50x = 97,627,814,570.25
  5. Step 5: Solve for x
    x = 97,627,814,570.25/136,129.50
  6. Step 6: Final answer
    x = 717,168.69

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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.