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Finding the Third Proportional to 438,299.86 and 655,701.33

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Solution

The third proportional to 438,299.86 and 655,701.33 is: 980,936.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,299.86 : 655,701.33 = 655,701.33 : x
  2. Step 2: Convert to fraction form
    438,299.86/655,701.33 = 655,701.33/x
  3. Step 3: Cross multiply
    438,299.86x = 655,701.33 × 655,701.33
  4. Step 4: Simplify right side
    438,299.86x = 429,944,231,704.89
  5. Step 5: Solve for x
    x = 429,944,231,704.89/438,299.86
  6. Step 6: Final answer
    x = 980,936.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.