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Finding the Third Proportional to 71,570 and 110,875

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Solution

The third proportional to 71,570 and 110,875 is: 171,765.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,570 : 110,875 = 110,875 : x
  2. Step 2: Convert to fraction form
    71,570/110,875 = 110,875/x
  3. Step 3: Cross multiply
    71,570x = 110,875 × 110,875
  4. Step 4: Simplify right side
    71,570x = 12,293,265,625
  5. Step 5: Solve for x
    x = 12,293,265,625/71,570
  6. Step 6: Final answer
    x = 171,765.62

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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.