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Finding the Third Proportional to 72,612 and 157,286.25

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Solution

The third proportional to 72,612 and 157,286.25 is: 340,700.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,612 : 157,286.25 = 157,286.25 : x
  2. Step 2: Convert to fraction form
    72,612/157,286.25 = 157,286.25/x
  3. Step 3: Cross multiply
    72,612x = 157,286.25 × 157,286.25
  4. Step 4: Simplify right side
    72,612x = 24,738,964,439.06
  5. Step 5: Solve for x
    x = 24,738,964,439.06/72,612
  6. Step 6: Final answer
    x = 340,700.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.