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Finding the Third Proportional to 237,686 and 518,020

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Solution

The third proportional to 237,686 and 518,020 is: 1,128,988.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,686 : 518,020 = 518,020 : x
  2. Step 2: Convert to fraction form
    237,686/518,020 = 518,020/x
  3. Step 3: Cross multiply
    237,686x = 518,020 × 518,020
  4. Step 4: Simplify right side
    237,686x = 268,344,720,400
  5. Step 5: Solve for x
    x = 268,344,720,400/237,686
  6. Step 6: Final answer
    x = 1,128,988.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.