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Finding the Third Proportional to 56,481 and 84,729

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Solution

The third proportional to 56,481 and 84,729 is: 127,104.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,481 : 84,729 = 84,729 : x
  2. Step 2: Convert to fraction form
    56,481/84,729 = 84,729/x
  3. Step 3: Cross multiply
    56,481x = 84,729 × 84,729
  4. Step 4: Simplify right side
    56,481x = 7,179,003,441
  5. Step 5: Solve for x
    x = 7,179,003,441/56,481
  6. Step 6: Final answer
    x = 127,104.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.