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Finding the Third Proportional to 259,974 and 564,390

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Solution

The third proportional to 259,974 and 564,390 is: 1,225,261.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,974 : 564,390 = 564,390 : x
  2. Step 2: Convert to fraction form
    259,974/564,390 = 564,390/x
  3. Step 3: Cross multiply
    259,974x = 564,390 × 564,390
  4. Step 4: Simplify right side
    259,974x = 318,536,072,100
  5. Step 5: Solve for x
    x = 318,536,072,100/259,974
  6. Step 6: Final answer
    x = 1,225,261.26

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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.