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Finding the Third Proportional to 216,290 and 289,320

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Solution

The third proportional to 216,290 and 289,320 is: 387,008.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,290 : 289,320 = 289,320 : x
  2. Step 2: Convert to fraction form
    216,290/289,320 = 289,320/x
  3. Step 3: Cross multiply
    216,290x = 289,320 × 289,320
  4. Step 4: Simplify right side
    216,290x = 83,706,062,400
  5. Step 5: Solve for x
    x = 83,706,062,400/216,290
  6. Step 6: Final answer
    x = 387,008.47

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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.