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Finding the Third Proportional to 343,500.75 and 756,742.50

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Solution

The third proportional to 343,500.75 and 756,742.50 is: 1,667,126.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,500.75 : 756,742.50 = 756,742.50 : x
  2. Step 2: Convert to fraction form
    343,500.75/756,742.50 = 756,742.50/x
  3. Step 3: Cross multiply
    343,500.75x = 756,742.50 × 756,742.50
  4. Step 4: Simplify right side
    343,500.75x = 572,659,211,306.25
  5. Step 5: Solve for x
    x = 572,659,211,306.25/343,500.75
  6. Step 6: Final answer
    x = 1,667,126.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.