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Finding the Third Proportional to 350,691 and 512,911.50

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Solution

The third proportional to 350,691 and 512,911.50 is: 750,170.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,691 : 512,911.50 = 512,911.50 : x
  2. Step 2: Convert to fraction form
    350,691/512,911.50 = 512,911.50/x
  3. Step 3: Cross multiply
    350,691x = 512,911.50 × 512,911.50
  4. Step 4: Simplify right side
    350,691x = 263,078,206,832.25
  5. Step 5: Solve for x
    x = 263,078,206,832.25/350,691
  6. Step 6: Final answer
    x = 750,170.97

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.