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Finding the Third Proportional to 130,218 and 267,348

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Solution

The third proportional to 130,218 and 267,348 is: 548,886.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,218 : 267,348 = 267,348 : x
  2. Step 2: Convert to fraction form
    130,218/267,348 = 267,348/x
  3. Step 3: Cross multiply
    130,218x = 267,348 × 267,348
  4. Step 4: Simplify right side
    130,218x = 71,474,953,104
  5. Step 5: Solve for x
    x = 71,474,953,104/130,218
  6. Step 6: Final answer
    x = 548,886.89

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.