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Finding the Third Proportional to 215,478 and 289,863

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Solution

The third proportional to 215,478 and 289,863 is: 389,926.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,478 : 289,863 = 289,863 : x
  2. Step 2: Convert to fraction form
    215,478/289,863 = 289,863/x
  3. Step 3: Cross multiply
    215,478x = 289,863 × 289,863
  4. Step 4: Simplify right side
    215,478x = 84,020,558,769
  5. Step 5: Solve for x
    x = 84,020,558,769/215,478
  6. Step 6: Final answer
    x = 389,926.39

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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.