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Finding the Third Proportional to 423,220 and 655,854

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Solution

The third proportional to 423,220 and 655,854 is: 1,016,361.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,220 : 655,854 = 655,854 : x
  2. Step 2: Convert to fraction form
    423,220/655,854 = 655,854/x
  3. Step 3: Cross multiply
    423,220x = 655,854 × 655,854
  4. Step 4: Simplify right side
    423,220x = 430,144,469,316
  5. Step 5: Solve for x
    x = 430,144,469,316/423,220
  6. Step 6: Final answer
    x = 1,016,361.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.