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Finding the Third Proportional to 127,278 and 267,354

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Solution

The third proportional to 127,278 and 267,354 is: 561,590.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,278 : 267,354 = 267,354 : x
  2. Step 2: Convert to fraction form
    127,278/267,354 = 267,354/x
  3. Step 3: Cross multiply
    127,278x = 267,354 × 267,354
  4. Step 4: Simplify right side
    127,278x = 71,478,161,316
  5. Step 5: Solve for x
    x = 71,478,161,316/127,278
  6. Step 6: Final answer
    x = 561,590.86

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.