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Finding the Third Proportional to 435,750 and 666,163

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Solution

The third proportional to 435,750 and 666,163 is: 1,018,412.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,750 : 666,163 = 666,163 : x
  2. Step 2: Convert to fraction form
    435,750/666,163 = 666,163/x
  3. Step 3: Cross multiply
    435,750x = 666,163 × 666,163
  4. Step 4: Simplify right side
    435,750x = 443,773,142,569
  5. Step 5: Solve for x
    x = 443,773,142,569/435,750
  6. Step 6: Final answer
    x = 1,018,412.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.