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Finding the Third Proportional to 259,608 and 563,280

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Solution

The third proportional to 259,608 and 563,280 is: 1,222,167.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,608 : 563,280 = 563,280 : x
  2. Step 2: Convert to fraction form
    259,608/563,280 = 563,280/x
  3. Step 3: Cross multiply
    259,608x = 563,280 × 563,280
  4. Step 4: Simplify right side
    259,608x = 317,284,358,400
  5. Step 5: Solve for x
    x = 317,284,358,400/259,608
  6. Step 6: Final answer
    x = 1,222,167.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.