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Finding the Third Proportional to 288,202.50 and 460,410.75

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Solution

The third proportional to 288,202.50 and 460,410.75 is: 735,517.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,202.50 : 460,410.75 = 460,410.75 : x
  2. Step 2: Convert to fraction form
    288,202.50/460,410.75 = 460,410.75/x
  3. Step 3: Cross multiply
    288,202.50x = 460,410.75 × 460,410.75
  4. Step 4: Simplify right side
    288,202.50x = 211,978,058,715.56
  5. Step 5: Solve for x
    x = 211,978,058,715.56/288,202.50
  6. Step 6: Final answer
    x = 735,517.77

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.