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Finding the Third Proportional to 204,490 and 310,419

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Solution

The third proportional to 204,490 and 310,419 is: 471,220.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,490 : 310,419 = 310,419 : x
  2. Step 2: Convert to fraction form
    204,490/310,419 = 310,419/x
  3. Step 3: Cross multiply
    204,490x = 310,419 × 310,419
  4. Step 4: Simplify right side
    204,490x = 96,359,955,561
  5. Step 5: Solve for x
    x = 96,359,955,561/204,490
  6. Step 6: Final answer
    x = 471,220.87

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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.