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Finding the Third Proportional to 138,783 and 270,654

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Solution

The third proportional to 138,783 and 270,654 is: 527,828.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,783 : 270,654 = 270,654 : x
  2. Step 2: Convert to fraction form
    138,783/270,654 = 270,654/x
  3. Step 3: Cross multiply
    138,783x = 270,654 × 270,654
  4. Step 4: Simplify right side
    138,783x = 73,253,587,716
  5. Step 5: Solve for x
    x = 73,253,587,716/138,783
  6. Step 6: Final answer
    x = 527,828.25

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.