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Finding the Third Proportional to 374,163 and 665,220

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Solution

The third proportional to 374,163 and 665,220 is: 1,182,686.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,163 : 665,220 = 665,220 : x
  2. Step 2: Convert to fraction form
    374,163/665,220 = 665,220/x
  3. Step 3: Cross multiply
    374,163x = 665,220 × 665,220
  4. Step 4: Simplify right side
    374,163x = 442,517,648,400
  5. Step 5: Solve for x
    x = 442,517,648,400/374,163
  6. Step 6: Final answer
    x = 1,182,686.82

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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.