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Finding the Third Proportional to 127,180 and 202,445

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Solution

The third proportional to 127,180 and 202,445 is: 322,251.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,180 : 202,445 = 202,445 : x
  2. Step 2: Convert to fraction form
    127,180/202,445 = 202,445/x
  3. Step 3: Cross multiply
    127,180x = 202,445 × 202,445
  4. Step 4: Simplify right side
    127,180x = 40,983,978,025
  5. Step 5: Solve for x
    x = 40,983,978,025/127,180
  6. Step 6: Final answer
    x = 322,251.75

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.