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Finding the Third Proportional to 207,948 and 455,384

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Solution

The third proportional to 207,948 and 455,384 is: 997,242.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,948 : 455,384 = 455,384 : x
  2. Step 2: Convert to fraction form
    207,948/455,384 = 455,384/x
  3. Step 3: Cross multiply
    207,948x = 455,384 × 455,384
  4. Step 4: Simplify right side
    207,948x = 207,374,587,456
  5. Step 5: Solve for x
    x = 207,374,587,456/207,948
  6. Step 6: Final answer
    x = 997,242.52

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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.