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Finding the Third Proportional to 475,270.50 and 645,675

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Solution

The third proportional to 475,270.50 and 645,675 is: 877,176.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,270.50 : 645,675 = 645,675 : x
  2. Step 2: Convert to fraction form
    475,270.50/645,675 = 645,675/x
  3. Step 3: Cross multiply
    475,270.50x = 645,675 × 645,675
  4. Step 4: Simplify right side
    475,270.50x = 416,896,205,625
  5. Step 5: Solve for x
    x = 416,896,205,625/475,270.50
  6. Step 6: Final answer
    x = 877,176.69

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.