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Finding the Third Proportional to 207,878 and 229,748

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Solution

The third proportional to 207,878 and 229,748 is: 253,918.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,878 : 229,748 = 229,748 : x
  2. Step 2: Convert to fraction form
    207,878/229,748 = 229,748/x
  3. Step 3: Cross multiply
    207,878x = 229,748 × 229,748
  4. Step 4: Simplify right side
    207,878x = 52,784,143,504
  5. Step 5: Solve for x
    x = 52,784,143,504/207,878
  6. Step 6: Final answer
    x = 253,918.85

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.