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Finding the Third Proportional to 261,760.50 and 415,159

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Solution

The third proportional to 261,760.50 and 415,159 is: 658,453.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,760.50 : 415,159 = 415,159 : x
  2. Step 2: Convert to fraction form
    261,760.50/415,159 = 415,159/x
  3. Step 3: Cross multiply
    261,760.50x = 415,159 × 415,159
  4. Step 4: Simplify right side
    261,760.50x = 172,356,995,281
  5. Step 5: Solve for x
    x = 172,356,995,281/261,760.50
  6. Step 6: Final answer
    x = 658,453.03

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.