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Finding the Third Proportional to 205,872 and 299,426

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Solution

The third proportional to 205,872 and 299,426 is: 435,493.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,872 : 299,426 = 299,426 : x
  2. Step 2: Convert to fraction form
    205,872/299,426 = 299,426/x
  3. Step 3: Cross multiply
    205,872x = 299,426 × 299,426
  4. Step 4: Simplify right side
    205,872x = 89,655,929,476
  5. Step 5: Solve for x
    x = 89,655,929,476/205,872
  6. Step 6: Final answer
    x = 435,493.56

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.