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Finding the Third Proportional to 417,309.75 and 655,337.25

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Solution

The third proportional to 417,309.75 and 655,337.25 is: 1,029,132.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,309.75 : 655,337.25 = 655,337.25 : x
  2. Step 2: Convert to fraction form
    417,309.75/655,337.25 = 655,337.25/x
  3. Step 3: Cross multiply
    417,309.75x = 655,337.25 × 655,337.25
  4. Step 4: Simplify right side
    417,309.75x = 429,466,911,237.56
  5. Step 5: Solve for x
    x = 429,466,911,237.56/417,309.75
  6. Step 6: Final answer
    x = 1,029,132.22

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.