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Finding the Third Proportional to 216,282 and 289,308

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Solution

The third proportional to 216,282 and 289,308 is: 386,990.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,282 : 289,308 = 289,308 : x
  2. Step 2: Convert to fraction form
    216,282/289,308 = 289,308/x
  3. Step 3: Cross multiply
    216,282x = 289,308 × 289,308
  4. Step 4: Simplify right side
    216,282x = 83,699,118,864
  5. Step 5: Solve for x
    x = 83,699,118,864/216,282
  6. Step 6: Final answer
    x = 386,990.68

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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.