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Finding the Third Proportional to 239,988 and 514,131

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Solution

The third proportional to 239,988 and 514,131 is: 1,101,432.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,988 : 514,131 = 514,131 : x
  2. Step 2: Convert to fraction form
    239,988/514,131 = 514,131/x
  3. Step 3: Cross multiply
    239,988x = 514,131 × 514,131
  4. Step 4: Simplify right side
    239,988x = 264,330,685,161
  5. Step 5: Solve for x
    x = 264,330,685,161/239,988
  6. Step 6: Final answer
    x = 1,101,432.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.