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Finding the Third Proportional to 127,989 and 274,482

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Solution

The third proportional to 127,989 and 274,482 is: 588,647.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,989 : 274,482 = 274,482 : x
  2. Step 2: Convert to fraction form
    127,989/274,482 = 274,482/x
  3. Step 3: Cross multiply
    127,989x = 274,482 × 274,482
  4. Step 4: Simplify right side
    127,989x = 75,340,368,324
  5. Step 5: Solve for x
    x = 75,340,368,324/127,989
  6. Step 6: Final answer
    x = 588,647.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.