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Finding the Third Proportional to 261,291.66 and 367,942.50

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Solution

The third proportional to 261,291.66 and 367,942.50 is: 518,124.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,291.66 : 367,942.50 = 367,942.50 : x
  2. Step 2: Convert to fraction form
    261,291.66/367,942.50 = 367,942.50/x
  3. Step 3: Cross multiply
    261,291.66x = 367,942.50 × 367,942.50
  4. Step 4: Simplify right side
    261,291.66x = 135,381,683,306.25
  5. Step 5: Solve for x
    x = 135,381,683,306.25/261,291.66
  6. Step 6: Final answer
    x = 518,124.79

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.