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Finding the Third Proportional to 215,462 and 289,841

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Solution

The third proportional to 215,462 and 289,841 is: 389,896.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,462 : 289,841 = 289,841 : x
  2. Step 2: Convert to fraction form
    215,462/289,841 = 289,841/x
  3. Step 3: Cross multiply
    215,462x = 289,841 × 289,841
  4. Step 4: Simplify right side
    215,462x = 84,007,805,281
  5. Step 5: Solve for x
    x = 84,007,805,281/215,462
  6. Step 6: Final answer
    x = 389,896.15

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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.