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Finding the Third Proportional to 131,406.75 and 288,247.50

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Solution

The third proportional to 131,406.75 and 288,247.50 is: 632,285.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,406.75 : 288,247.50 = 288,247.50 : x
  2. Step 2: Convert to fraction form
    131,406.75/288,247.50 = 288,247.50/x
  3. Step 3: Cross multiply
    131,406.75x = 288,247.50 × 288,247.50
  4. Step 4: Simplify right side
    131,406.75x = 83,086,621,256.25
  5. Step 5: Solve for x
    x = 83,086,621,256.25/131,406.75
  6. Step 6: Final answer
    x = 632,285.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.