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Finding the Third Proportional to 130,005 and 280,234

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Solution

The third proportional to 130,005 and 280,234 is: 604,062.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,005 : 280,234 = 280,234 : x
  2. Step 2: Convert to fraction form
    130,005/280,234 = 280,234/x
  3. Step 3: Cross multiply
    130,005x = 280,234 × 280,234
  4. Step 4: Simplify right side
    130,005x = 78,531,094,756
  5. Step 5: Solve for x
    x = 78,531,094,756/130,005
  6. Step 6: Final answer
    x = 604,062.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.