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Finding the Third Proportional to 100,215 and 150,454

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Solution

The third proportional to 100,215 and 150,454 is: 225,878.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,215 : 150,454 = 150,454 : x
  2. Step 2: Convert to fraction form
    100,215/150,454 = 150,454/x
  3. Step 3: Cross multiply
    100,215x = 150,454 × 150,454
  4. Step 4: Simplify right side
    100,215x = 22,636,406,116
  5. Step 5: Solve for x
    x = 22,636,406,116/100,215
  6. Step 6: Final answer
    x = 225,878.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.