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Finding the Third Proportional to 30,810 and 47,800

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Solution

The third proportional to 30,810 and 47,800 is: 74,159.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,810 : 47,800 = 47,800 : x
  2. Step 2: Convert to fraction form
    30,810/47,800 = 47,800/x
  3. Step 3: Cross multiply
    30,810x = 47,800 × 47,800
  4. Step 4: Simplify right side
    30,810x = 2,284,840,000
  5. Step 5: Solve for x
    x = 2,284,840,000/30,810
  6. Step 6: Final answer
    x = 74,159.04

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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.