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Finding the Third Proportional to 288,559.50 and 431,224.50

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Solution

The third proportional to 288,559.50 and 431,224.50 is: 644,423.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,559.50 : 431,224.50 = 431,224.50 : x
  2. Step 2: Convert to fraction form
    288,559.50/431,224.50 = 431,224.50/x
  3. Step 3: Cross multiply
    288,559.50x = 431,224.50 × 431,224.50
  4. Step 4: Simplify right side
    288,559.50x = 185,954,569,400.25
  5. Step 5: Solve for x
    x = 185,954,569,400.25/288,559.50
  6. Step 6: Final answer
    x = 644,423.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.