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Finding the Third Proportional to 216,288 and 289,317

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Solution

The third proportional to 216,288 and 289,317 is: 387,004.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,288 : 289,317 = 289,317 : x
  2. Step 2: Convert to fraction form
    216,288/289,317 = 289,317/x
  3. Step 3: Cross multiply
    216,288x = 289,317 × 289,317
  4. Step 4: Simplify right side
    216,288x = 83,704,326,489
  5. Step 5: Solve for x
    x = 83,704,326,489/216,288
  6. Step 6: Final answer
    x = 387,004.02

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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.