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Finding the Third Proportional to 136,126.50 and 312,447

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Solution

The third proportional to 136,126.50 and 312,447 is: 717,150.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,126.50 : 312,447 = 312,447 : x
  2. Step 2: Convert to fraction form
    136,126.50/312,447 = 312,447/x
  3. Step 3: Cross multiply
    136,126.50x = 312,447 × 312,447
  4. Step 4: Simplify right side
    136,126.50x = 97,623,127,809
  5. Step 5: Solve for x
    x = 97,623,127,809/136,126.50
  6. Step 6: Final answer
    x = 717,150.06

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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.