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Finding the Third Proportional to 288,208.50 and 460,419.75

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Solution

The third proportional to 288,208.50 and 460,419.75 is: 735,531.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,208.50 : 460,419.75 = 460,419.75 : x
  2. Step 2: Convert to fraction form
    288,208.50/460,419.75 = 460,419.75/x
  3. Step 3: Cross multiply
    288,208.50x = 460,419.75 × 460,419.75
  4. Step 4: Simplify right side
    288,208.50x = 211,986,346,190.06
  5. Step 5: Solve for x
    x = 211,986,346,190.06/288,208.50
  6. Step 6: Final answer
    x = 735,531.21

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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.