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Finding the Third Proportional to 48,932 and 73,508

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Solution

The third proportional to 48,932 and 73,508 is: 110,427.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,932 : 73,508 = 73,508 : x
  2. Step 2: Convert to fraction form
    48,932/73,508 = 73,508/x
  3. Step 3: Cross multiply
    48,932x = 73,508 × 73,508
  4. Step 4: Simplify right side
    48,932x = 5,403,426,064
  5. Step 5: Solve for x
    x = 5,403,426,064/48,932
  6. Step 6: Final answer
    x = 110,427.25

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