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Finding the Third Proportional to 109,306 and 157,975

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Solution

The third proportional to 109,306 and 157,975 is: 228,314.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,306 : 157,975 = 157,975 : x
  2. Step 2: Convert to fraction form
    109,306/157,975 = 157,975/x
  3. Step 3: Cross multiply
    109,306x = 157,975 × 157,975
  4. Step 4: Simplify right side
    109,306x = 24,956,100,625
  5. Step 5: Solve for x
    x = 24,956,100,625/109,306
  6. Step 6: Final answer
    x = 228,314.10

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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.