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Finding the Third Proportional to 129,523.50 and 305,319.38

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Solution

The third proportional to 129,523.50 and 305,319.38 is: 719,714.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,523.50 : 305,319.38 = 305,319.38 : x
  2. Step 2: Convert to fraction form
    129,523.50/305,319.38 = 305,319.38/x
  3. Step 3: Cross multiply
    129,523.50x = 305,319.38 × 305,319.38
  4. Step 4: Simplify right side
    129,523.50x = 93,219,920,750.39
  5. Step 5: Solve for x
    x = 93,219,920,750.39/129,523.50
  6. Step 6: Final answer
    x = 719,714.34

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.