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Finding the Third Proportional to 261,277.31 and 367,939.13

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Solution

The third proportional to 261,277.31 and 367,939.13 is: 518,143.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,277.31 : 367,939.13 = 367,939.13 : x
  2. Step 2: Convert to fraction form
    261,277.31/367,939.13 = 367,939.13/x
  3. Step 3: Cross multiply
    261,277.31x = 367,939.13 × 367,939.13
  4. Step 4: Simplify right side
    261,277.31x = 135,379,199,705.77
  5. Step 5: Solve for x
    x = 135,379,199,705.77/261,277.31
  6. Step 6: Final answer
    x = 518,143.72

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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.