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Finding the Third Proportional to 129,319 and 194,153

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Solution

The third proportional to 129,319 and 194,153 is: 291,491.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,319 : 194,153 = 194,153 : x
  2. Step 2: Convert to fraction form
    129,319/194,153 = 194,153/x
  3. Step 3: Cross multiply
    129,319x = 194,153 × 194,153
  4. Step 4: Simplify right side
    129,319x = 37,695,387,409
  5. Step 5: Solve for x
    x = 37,695,387,409/129,319
  6. Step 6: Final answer
    x = 291,491.49

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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.