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Finding the Third Proportional to 551,439 and 1,214,620

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Solution

The third proportional to 551,439 and 1,214,620 is: 2,675,367.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,439 : 1,214,620 = 1,214,620 : x
  2. Step 2: Convert to fraction form
    551,439/1,214,620 = 1,214,620/x
  3. Step 3: Cross multiply
    551,439x = 1,214,620 × 1,214,620
  4. Step 4: Simplify right side
    551,439x = 1,475,301,744,400
  5. Step 5: Solve for x
    x = 1,475,301,744,400/551,439
  6. Step 6: Final answer
    x = 2,675,367.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.