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Finding the Third Proportional to 100,878 and 146,565

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Solution

The third proportional to 100,878 and 146,565 is: 212,943.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,878 : 146,565 = 146,565 : x
  2. Step 2: Convert to fraction form
    100,878/146,565 = 146,565/x
  3. Step 3: Cross multiply
    100,878x = 146,565 × 146,565
  4. Step 4: Simplify right side
    100,878x = 21,481,299,225
  5. Step 5: Solve for x
    x = 21,481,299,225/100,878
  6. Step 6: Final answer
    x = 212,943.35

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.