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Finding the Third Proportional to 445,692.38 and 670,657.22

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Solution

The third proportional to 445,692.38 and 670,657.22 is: 1,009,173.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,692.38 : 670,657.22 = 670,657.22 : x
  2. Step 2: Convert to fraction form
    445,692.38/670,657.22 = 670,657.22/x
  3. Step 3: Cross multiply
    445,692.38x = 670,657.22 × 670,657.22
  4. Step 4: Simplify right side
    445,692.38x = 449,781,105,061.49
  5. Step 5: Solve for x
    x = 449,781,105,061.49/445,692.38
  6. Step 6: Final answer
    x = 1,009,173.88

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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.