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Finding the Third Proportional to 215,460 and 289,838.25

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Solution

The third proportional to 215,460 and 289,838.25 is: 389,892.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,460 : 289,838.25 = 289,838.25 : x
  2. Step 2: Convert to fraction form
    215,460/289,838.25 = 289,838.25/x
  3. Step 3: Cross multiply
    215,460x = 289,838.25 × 289,838.25
  4. Step 4: Simplify right side
    215,460x = 84,006,211,163.06
  5. Step 5: Solve for x
    x = 84,006,211,163.06/215,460
  6. Step 6: Final answer
    x = 389,892.38

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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.