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Finding the Third Proportional to 48,080 and 74,640

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Solution

The third proportional to 48,080 and 74,640 is: 115,872.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,080 : 74,640 = 74,640 : x
  2. Step 2: Convert to fraction form
    48,080/74,640 = 74,640/x
  3. Step 3: Cross multiply
    48,080x = 74,640 × 74,640
  4. Step 4: Simplify right side
    48,080x = 5,571,129,600
  5. Step 5: Solve for x
    x = 5,571,129,600/48,080
  6. Step 6: Final answer
    x = 115,872.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.