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Finding the Third Proportional to 427,359 and 664,348.50

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Solution

The third proportional to 427,359 and 664,348.50 is: 1,032,759.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,359 : 664,348.50 = 664,348.50 : x
  2. Step 2: Convert to fraction form
    427,359/664,348.50 = 664,348.50/x
  3. Step 3: Cross multiply
    427,359x = 664,348.50 × 664,348.50
  4. Step 4: Simplify right side
    427,359x = 441,358,929,452.25
  5. Step 5: Solve for x
    x = 441,358,929,452.25/427,359
  6. Step 6: Final answer
    x = 1,032,759.18

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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.