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Finding the Third Proportional to 207,778 and 454,970

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Solution

The third proportional to 207,778 and 454,970 is: 996,244.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,778 : 454,970 = 454,970 : x
  2. Step 2: Convert to fraction form
    207,778/454,970 = 454,970/x
  3. Step 3: Cross multiply
    207,778x = 454,970 × 454,970
  4. Step 4: Simplify right side
    207,778x = 206,997,700,900
  5. Step 5: Solve for x
    x = 206,997,700,900/207,778
  6. Step 6: Final answer
    x = 996,244.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.