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Finding the Third Proportional to 48,432 and 71,056

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Solution

The third proportional to 48,432 and 71,056 is: 104,248.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,432 : 71,056 = 71,056 : x
  2. Step 2: Convert to fraction form
    48,432/71,056 = 71,056/x
  3. Step 3: Cross multiply
    48,432x = 71,056 × 71,056
  4. Step 4: Simplify right side
    48,432x = 5,048,955,136
  5. Step 5: Solve for x
    x = 5,048,955,136/48,432
  6. Step 6: Final answer
    x = 104,248.33

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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.