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Finding the Third Proportional to 374,155.69 and 665,205.38

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Solution

The third proportional to 374,155.69 and 665,205.38 is: 1,182,657.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,155.69 : 665,205.38 = 665,205.38 : x
  2. Step 2: Convert to fraction form
    374,155.69/665,205.38 = 665,205.38/x
  3. Step 3: Cross multiply
    374,155.69x = 665,205.38 × 665,205.38
  4. Step 4: Simplify right side
    374,155.69x = 442,498,190,928.89
  5. Step 5: Solve for x
    x = 442,498,190,928.89/374,155.69
  6. Step 6: Final answer
    x = 1,182,657.93

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.