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Finding the Third Proportional to 136,229.25 and 296,980.50

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Solution

The third proportional to 136,229.25 and 296,980.50 is: 647,419.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,229.25 : 296,980.50 = 296,980.50 : x
  2. Step 2: Convert to fraction form
    136,229.25/296,980.50 = 296,980.50/x
  3. Step 3: Cross multiply
    136,229.25x = 296,980.50 × 296,980.50
  4. Step 4: Simplify right side
    136,229.25x = 88,197,417,380.25
  5. Step 5: Solve for x
    x = 88,197,417,380.25/136,229.25
  6. Step 6: Final answer
    x = 647,419.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.