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Finding the Third Proportional to 56,040 and 86,772

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Solution

The third proportional to 56,040 and 86,772 is: 134,357.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,040 : 86,772 = 86,772 : x
  2. Step 2: Convert to fraction form
    56,040/86,772 = 86,772/x
  3. Step 3: Cross multiply
    56,040x = 86,772 × 86,772
  4. Step 4: Simplify right side
    56,040x = 7,529,379,984
  5. Step 5: Solve for x
    x = 7,529,379,984/56,040
  6. Step 6: Final answer
    x = 134,357.24

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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.