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Finding the Third Proportional to 216,295 and 289,327

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Solution

The third proportional to 216,295 and 289,327 is: 387,018.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,295 : 289,327 = 289,327 : x
  2. Step 2: Convert to fraction form
    216,295/289,327 = 289,327/x
  3. Step 3: Cross multiply
    216,295x = 289,327 × 289,327
  4. Step 4: Simplify right side
    216,295x = 83,710,112,929
  5. Step 5: Solve for x
    x = 83,710,112,929/216,295
  6. Step 6: Final answer
    x = 387,018.25

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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.