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Finding the Third Proportional to 47,478 and 102,480

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Solution

The third proportional to 47,478 and 102,480 is: 221,200.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,478 : 102,480 = 102,480 : x
  2. Step 2: Convert to fraction form
    47,478/102,480 = 102,480/x
  3. Step 3: Cross multiply
    47,478x = 102,480 × 102,480
  4. Step 4: Simplify right side
    47,478x = 10,502,150,400
  5. Step 5: Solve for x
    x = 10,502,150,400/47,478
  6. Step 6: Final answer
    x = 221,200.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.