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Finding the Third Proportional to 100,946 and 218,612

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Solution

The third proportional to 100,946 and 218,612 is: 473,433.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,946 : 218,612 = 218,612 : x
  2. Step 2: Convert to fraction form
    100,946/218,612 = 218,612/x
  3. Step 3: Cross multiply
    100,946x = 218,612 × 218,612
  4. Step 4: Simplify right side
    100,946x = 47,791,206,544
  5. Step 5: Solve for x
    x = 47,791,206,544/100,946
  6. Step 6: Final answer
    x = 473,433.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.