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Finding the Third Proportional to 105,988 and 159,209

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Solution

The third proportional to 105,988 and 159,209 is: 239,154.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,988 : 159,209 = 159,209 : x
  2. Step 2: Convert to fraction form
    105,988/159,209 = 159,209/x
  3. Step 3: Cross multiply
    105,988x = 159,209 × 159,209
  4. Step 4: Simplify right side
    105,988x = 25,347,505,681
  5. Step 5: Solve for x
    x = 25,347,505,681/105,988
  6. Step 6: Final answer
    x = 239,154.49

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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.