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Finding the Third Proportional to 105,909 and 157,039

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Solution

The third proportional to 105,909 and 157,039 is: 232,853.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,909 : 157,039 = 157,039 : x
  2. Step 2: Convert to fraction form
    105,909/157,039 = 157,039/x
  3. Step 3: Cross multiply
    105,909x = 157,039 × 157,039
  4. Step 4: Simplify right side
    105,909x = 24,661,247,521
  5. Step 5: Solve for x
    x = 24,661,247,521/105,909
  6. Step 6: Final answer
    x = 232,853.18

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.