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Finding the Third Proportional to 215,567 and 289,995

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Solution

The third proportional to 215,567 and 289,995 is: 390,120.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,567 : 289,995 = 289,995 : x
  2. Step 2: Convert to fraction form
    215,567/289,995 = 289,995/x
  3. Step 3: Cross multiply
    215,567x = 289,995 × 289,995
  4. Step 4: Simplify right side
    215,567x = 84,097,100,025
  5. Step 5: Solve for x
    x = 84,097,100,025/215,567
  6. Step 6: Final answer
    x = 390,120.47

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.