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Finding the Third Proportional to 154,288 and 233,367

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Solution

The third proportional to 154,288 and 233,367 is: 352,977.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,288 : 233,367 = 233,367 : x
  2. Step 2: Convert to fraction form
    154,288/233,367 = 233,367/x
  3. Step 3: Cross multiply
    154,288x = 233,367 × 233,367
  4. Step 4: Simplify right side
    154,288x = 54,460,156,689
  5. Step 5: Solve for x
    x = 54,460,156,689/154,288
  6. Step 6: Final answer
    x = 352,977.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.