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Finding the Third Proportional to 236,869.31 and 518,020.31

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Solution

The third proportional to 236,869.31 and 518,020.31 is: 1,132,882.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,869.31 : 518,020.31 = 518,020.31 : x
  2. Step 2: Convert to fraction form
    236,869.31/518,020.31 = 518,020.31/x
  3. Step 3: Cross multiply
    236,869.31x = 518,020.31 × 518,020.31
  4. Step 4: Simplify right side
    236,869.31x = 268,345,044,162.60
  5. Step 5: Solve for x
    x = 268,345,044,162.60/236,869.31
  6. Step 6: Final answer
    x = 1,132,882.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.