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Finding the Third Proportional to 268,218 and 575,380

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Solution

The third proportional to 268,218 and 575,380 is: 1,234,302.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,218 : 575,380 = 575,380 : x
  2. Step 2: Convert to fraction form
    268,218/575,380 = 575,380/x
  3. Step 3: Cross multiply
    268,218x = 575,380 × 575,380
  4. Step 4: Simplify right side
    268,218x = 331,062,144,400
  5. Step 5: Solve for x
    x = 331,062,144,400/268,218
  6. Step 6: Final answer
    x = 1,234,302.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.