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Finding the Third Proportional to 205,076 and 275,934

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Solution

The third proportional to 205,076 and 275,934 is: 371,274.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,076 : 275,934 = 275,934 : x
  2. Step 2: Convert to fraction form
    205,076/275,934 = 275,934/x
  3. Step 3: Cross multiply
    205,076x = 275,934 × 275,934
  4. Step 4: Simplify right side
    205,076x = 76,139,572,356
  5. Step 5: Solve for x
    x = 76,139,572,356/205,076
  6. Step 6: Final answer
    x = 371,274.90

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.