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Finding the Third Proportional to 43,830 and 71,209

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Solution

The third proportional to 43,830 and 71,209 is: 115,690.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,830 : 71,209 = 71,209 : x
  2. Step 2: Convert to fraction form
    43,830/71,209 = 71,209/x
  3. Step 3: Cross multiply
    43,830x = 71,209 × 71,209
  4. Step 4: Simplify right side
    43,830x = 5,070,721,681
  5. Step 5: Solve for x
    x = 5,070,721,681/43,830
  6. Step 6: Final answer
    x = 115,690.66

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.