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Finding the Third Proportional to 56,448 and 82,988

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Solution

The third proportional to 56,448 and 82,988 is: 122,006.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,448 : 82,988 = 82,988 : x
  2. Step 2: Convert to fraction form
    56,448/82,988 = 82,988/x
  3. Step 3: Cross multiply
    56,448x = 82,988 × 82,988
  4. Step 4: Simplify right side
    56,448x = 6,887,008,144
  5. Step 5: Solve for x
    x = 6,887,008,144/56,448
  6. Step 6: Final answer
    x = 122,006.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.