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Finding the Third Proportional to 118,240.50 and 262,725

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Solution

The third proportional to 118,240.50 and 262,725 is: 583,762.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,240.50 : 262,725 = 262,725 : x
  2. Step 2: Convert to fraction form
    118,240.50/262,725 = 262,725/x
  3. Step 3: Cross multiply
    118,240.50x = 262,725 × 262,725
  4. Step 4: Simplify right side
    118,240.50x = 69,024,425,625
  5. Step 5: Solve for x
    x = 69,024,425,625/118,240.50
  6. Step 6: Final answer
    x = 583,762.97

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.