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Finding the Third Proportional to 374,161.50 and 665,217

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Solution

The third proportional to 374,161.50 and 665,217 is: 1,182,680.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,161.50 : 665,217 = 665,217 : x
  2. Step 2: Convert to fraction form
    374,161.50/665,217 = 665,217/x
  3. Step 3: Cross multiply
    374,161.50x = 665,217 × 665,217
  4. Step 4: Simplify right side
    374,161.50x = 442,513,657,089
  5. Step 5: Solve for x
    x = 442,513,657,089/374,161.50
  6. Step 6: Final answer
    x = 1,182,680.89

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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.