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Finding the Third Proportional to 100,035 and 218,658

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Solution

The third proportional to 100,035 and 218,658 is: 477,945.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,035 : 218,658 = 218,658 : x
  2. Step 2: Convert to fraction form
    100,035/218,658 = 218,658/x
  3. Step 3: Cross multiply
    100,035x = 218,658 × 218,658
  4. Step 4: Simplify right side
    100,035x = 47,811,320,964
  5. Step 5: Solve for x
    x = 47,811,320,964/100,035
  6. Step 6: Final answer
    x = 477,945.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.