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Finding the Third Proportional to 56,400 and 87,192

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Solution

The third proportional to 56,400 and 87,192 is: 134,795.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,400 : 87,192 = 87,192 : x
  2. Step 2: Convert to fraction form
    56,400/87,192 = 87,192/x
  3. Step 3: Cross multiply
    56,400x = 87,192 × 87,192
  4. Step 4: Simplify right side
    56,400x = 7,602,444,864
  5. Step 5: Solve for x
    x = 7,602,444,864/56,400
  6. Step 6: Final answer
    x = 134,795.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.