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Finding the Third Proportional to 204,468 and 310,381

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Solution

The third proportional to 204,468 and 310,381 is: 471,156.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,468 : 310,381 = 310,381 : x
  2. Step 2: Convert to fraction form
    204,468/310,381 = 310,381/x
  3. Step 3: Cross multiply
    204,468x = 310,381 × 310,381
  4. Step 4: Simplify right side
    204,468x = 96,336,365,161
  5. Step 5: Solve for x
    x = 96,336,365,161/204,468
  6. Step 6: Final answer
    x = 471,156.20

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.