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Finding the Third Proportional to 62,240 and 83,856

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Solution

The third proportional to 62,240 and 83,856 is: 112,979.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,240 : 83,856 = 83,856 : x
  2. Step 2: Convert to fraction form
    62,240/83,856 = 83,856/x
  3. Step 3: Cross multiply
    62,240x = 83,856 × 83,856
  4. Step 4: Simplify right side
    62,240x = 7,031,828,736
  5. Step 5: Solve for x
    x = 7,031,828,736/62,240
  6. Step 6: Final answer
    x = 112,979.25

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.