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Finding the Third Proportional to 305,140.50 and 443,859.75

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Solution

The third proportional to 305,140.50 and 443,859.75 is: 645,641.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,140.50 : 443,859.75 = 443,859.75 : x
  2. Step 2: Convert to fraction form
    305,140.50/443,859.75 = 443,859.75/x
  3. Step 3: Cross multiply
    305,140.50x = 443,859.75 × 443,859.75
  4. Step 4: Simplify right side
    305,140.50x = 197,011,477,670.06
  5. Step 5: Solve for x
    x = 197,011,477,670.06/305,140.50
  6. Step 6: Final answer
    x = 645,641.85

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.