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Finding the Third Proportional to 207,120 and 446,920

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Solution

The third proportional to 207,120 and 446,920 is: 964,356.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,120 : 446,920 = 446,920 : x
  2. Step 2: Convert to fraction form
    207,120/446,920 = 446,920/x
  3. Step 3: Cross multiply
    207,120x = 446,920 × 446,920
  4. Step 4: Simplify right side
    207,120x = 199,737,486,400
  5. Step 5: Solve for x
    x = 199,737,486,400/207,120
  6. Step 6: Final answer
    x = 964,356.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.