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Finding the Third Proportional to 435,418.59 and 640,324.69

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Solution

The third proportional to 435,418.59 and 640,324.69 is: 941,658.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,418.59 : 640,324.69 = 640,324.69 : x
  2. Step 2: Convert to fraction form
    435,418.59/640,324.69 = 640,324.69/x
  3. Step 3: Cross multiply
    435,418.59x = 640,324.69 × 640,324.69
  4. Step 4: Simplify right side
    435,418.59x = 410,015,705,421.97
  5. Step 5: Solve for x
    x = 410,015,705,421.97/435,418.59
  6. Step 6: Final answer
    x = 941,658.70

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.