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Finding the Third Proportional to 47,520 and 76,536

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Solution

The third proportional to 47,520 and 76,536 is: 123,269.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,520 : 76,536 = 76,536 : x
  2. Step 2: Convert to fraction form
    47,520/76,536 = 76,536/x
  3. Step 3: Cross multiply
    47,520x = 76,536 × 76,536
  4. Step 4: Simplify right side
    47,520x = 5,857,759,296
  5. Step 5: Solve for x
    x = 5,857,759,296/47,520
  6. Step 6: Final answer
    x = 123,269.35

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.