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Finding the Third Proportional to 269,384 and 418,260

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Solution

The third proportional to 269,384 and 418,260 is: 649,412.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,384 : 418,260 = 418,260 : x
  2. Step 2: Convert to fraction form
    269,384/418,260 = 418,260/x
  3. Step 3: Cross multiply
    269,384x = 418,260 × 418,260
  4. Step 4: Simplify right side
    269,384x = 174,941,427,600
  5. Step 5: Solve for x
    x = 174,941,427,600/269,384
  6. Step 6: Final answer
    x = 649,412.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.