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Finding the Third Proportional to 259,911 and 569,448

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Solution

The third proportional to 259,911 and 569,448 is: 1,247,623.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,911 : 569,448 = 569,448 : x
  2. Step 2: Convert to fraction form
    259,911/569,448 = 569,448/x
  3. Step 3: Cross multiply
    259,911x = 569,448 × 569,448
  4. Step 4: Simplify right side
    259,911x = 324,271,024,704
  5. Step 5: Solve for x
    x = 324,271,024,704/259,911
  6. Step 6: Final answer
    x = 1,247,623.32

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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.