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Finding the Third Proportional to 435,435.75 and 640,348.88

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Solution

The third proportional to 435,435.75 and 640,348.88 is: 941,692.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,435.75 : 640,348.88 = 640,348.88 : x
  2. Step 2: Convert to fraction form
    435,435.75/640,348.88 = 640,348.88/x
  3. Step 3: Cross multiply
    435,435.75x = 640,348.88 × 640,348.88
  4. Step 4: Simplify right side
    435,435.75x = 410,046,681,713.77
  5. Step 5: Solve for x
    x = 410,046,681,713.77/435,435.75
  6. Step 6: Final answer
    x = 941,692.73

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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.