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Finding the Third Proportional to 921,920 and 1,446,220

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Solution

The third proportional to 921,920 and 1,446,220 is: 2,268,691.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,920 : 1,446,220 = 1,446,220 : x
  2. Step 2: Convert to fraction form
    921,920/1,446,220 = 1,446,220/x
  3. Step 3: Cross multiply
    921,920x = 1,446,220 × 1,446,220
  4. Step 4: Simplify right side
    921,920x = 2,091,552,288,400
  5. Step 5: Solve for x
    x = 2,091,552,288,400/921,920
  6. Step 6: Final answer
    x = 2,268,691.74

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.