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Finding the Third Proportional to 100,491 and 218,478

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Solution

The third proportional to 100,491 and 218,478 is: 474,994.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,491 : 218,478 = 218,478 : x
  2. Step 2: Convert to fraction form
    100,491/218,478 = 218,478/x
  3. Step 3: Cross multiply
    100,491x = 218,478 × 218,478
  4. Step 4: Simplify right side
    100,491x = 47,732,636,484
  5. Step 5: Solve for x
    x = 47,732,636,484/100,491
  6. Step 6: Final answer
    x = 474,994.14

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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.