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Finding the Third Proportional to 45,080 and 84,520

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Solution

The third proportional to 45,080 and 84,520 is: 158,465.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,080 : 84,520 = 84,520 : x
  2. Step 2: Convert to fraction form
    45,080/84,520 = 84,520/x
  3. Step 3: Cross multiply
    45,080x = 84,520 × 84,520
  4. Step 4: Simplify right side
    45,080x = 7,143,630,400
  5. Step 5: Solve for x
    x = 7,143,630,400/45,080
  6. Step 6: Final answer
    x = 158,465.63

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.