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Finding the Third Proportional to 205,878 and 299,435

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Solution

The third proportional to 205,878 and 299,435 is: 435,507.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,878 : 299,435 = 299,435 : x
  2. Step 2: Convert to fraction form
    205,878/299,435 = 299,435/x
  3. Step 3: Cross multiply
    205,878x = 299,435 × 299,435
  4. Step 4: Simplify right side
    205,878x = 89,661,319,225
  5. Step 5: Solve for x
    x = 89,661,319,225/205,878
  6. Step 6: Final answer
    x = 435,507.04

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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.