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Finding the Third Proportional to 48,320 and 74,680

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Solution

The third proportional to 48,320 and 74,680 is: 115,420.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,320 : 74,680 = 74,680 : x
  2. Step 2: Convert to fraction form
    48,320/74,680 = 74,680/x
  3. Step 3: Cross multiply
    48,320x = 74,680 × 74,680
  4. Step 4: Simplify right side
    48,320x = 5,577,102,400
  5. Step 5: Solve for x
    x = 5,577,102,400/48,320
  6. Step 6: Final answer
    x = 115,420.17

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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.