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Finding the Third Proportional to 237,065 and 518,390

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Solution

The third proportional to 237,065 and 518,390 is: 1,133,563.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,065 : 518,390 = 518,390 : x
  2. Step 2: Convert to fraction form
    237,065/518,390 = 518,390/x
  3. Step 3: Cross multiply
    237,065x = 518,390 × 518,390
  4. Step 4: Simplify right side
    237,065x = 268,728,192,100
  5. Step 5: Solve for x
    x = 268,728,192,100/237,065
  6. Step 6: Final answer
    x = 1,133,563.34

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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.