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Finding the Third Proportional to 663,220 and 1,420,992

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Solution

The third proportional to 663,220 and 1,420,992 is: 3,044,567.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,220 : 1,420,992 = 1,420,992 : x
  2. Step 2: Convert to fraction form
    663,220/1,420,992 = 1,420,992/x
  3. Step 3: Cross multiply
    663,220x = 1,420,992 × 1,420,992
  4. Step 4: Simplify right side
    663,220x = 2,019,218,264,064
  5. Step 5: Solve for x
    x = 2,019,218,264,064/663,220
  6. Step 6: Final answer
    x = 3,044,567.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.