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Finding the Third Proportional to 288,769 and 433,153.50

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Solution

The third proportional to 288,769 and 433,153.50 is: 649,730.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,769 : 433,153.50 = 433,153.50 : x
  2. Step 2: Convert to fraction form
    288,769/433,153.50 = 433,153.50/x
  3. Step 3: Cross multiply
    288,769x = 433,153.50 × 433,153.50
  4. Step 4: Simplify right side
    288,769x = 187,621,954,562.25
  5. Step 5: Solve for x
    x = 187,621,954,562.25/288,769
  6. Step 6: Final answer
    x = 649,730.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.