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Finding the Third Proportional to 72,332.78 and 112,640.64

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Solution

The third proportional to 72,332.78 and 112,640.64 is: 175,410.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,332.78 : 112,640.64 = 112,640.64 : x
  2. Step 2: Convert to fraction form
    72,332.78/112,640.64 = 112,640.64/x
  3. Step 3: Cross multiply
    72,332.78x = 112,640.64 × 112,640.64
  4. Step 4: Simplify right side
    72,332.78x = 12,687,914,855.41
  5. Step 5: Solve for x
    x = 12,687,914,855.41/72,332.78
  6. Step 6: Final answer
    x = 175,410.30

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.