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Finding the Third Proportional to 309,877.50 and 656,965.50

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Solution

The third proportional to 309,877.50 and 656,965.50 is: 1,392,820.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,877.50 : 656,965.50 = 656,965.50 : x
  2. Step 2: Convert to fraction form
    309,877.50/656,965.50 = 656,965.50/x
  3. Step 3: Cross multiply
    309,877.50x = 656,965.50 × 656,965.50
  4. Step 4: Simplify right side
    309,877.50x = 431,603,668,190.25
  5. Step 5: Solve for x
    x = 431,603,668,190.25/309,877.50
  6. Step 6: Final answer
    x = 1,392,820.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.