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Finding the Third Proportional to 72,686.53 and 154,179.28

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Solution

The third proportional to 72,686.53 and 154,179.28 is: 327,037.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,686.53 : 154,179.28 = 154,179.28 : x
  2. Step 2: Convert to fraction form
    72,686.53/154,179.28 = 154,179.28/x
  3. Step 3: Cross multiply
    72,686.53x = 154,179.28 × 154,179.28
  4. Step 4: Simplify right side
    72,686.53x = 23,771,250,766.77
  5. Step 5: Solve for x
    x = 23,771,250,766.77/72,686.53
  6. Step 6: Final answer
    x = 327,037.90

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.