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Finding the Third Proportional to 374,164 and 665,221

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Solution

The third proportional to 374,164 and 665,221 is: 1,182,687.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,164 : 665,221 = 665,221 : x
  2. Step 2: Convert to fraction form
    374,164/665,221 = 665,221/x
  3. Step 3: Cross multiply
    374,164x = 665,221 × 665,221
  4. Step 4: Simplify right side
    374,164x = 442,518,978,841
  5. Step 5: Solve for x
    x = 442,518,978,841/374,164
  6. Step 6: Final answer
    x = 1,182,687.21

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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.