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Finding the Third Proportional to 216,782 and 289,963

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Solution

The third proportional to 216,782 and 289,963 is: 387,848.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,782 : 289,963 = 289,963 : x
  2. Step 2: Convert to fraction form
    216,782/289,963 = 289,963/x
  3. Step 3: Cross multiply
    216,782x = 289,963 × 289,963
  4. Step 4: Simplify right side
    216,782x = 84,078,541,369
  5. Step 5: Solve for x
    x = 84,078,541,369/216,782
  6. Step 6: Final answer
    x = 387,848.35

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.