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Finding the Third Proportional to 153,288 and 205,992

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Solution

The third proportional to 153,288 and 205,992 is: 276,816.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,288 : 205,992 = 205,992 : x
  2. Step 2: Convert to fraction form
    153,288/205,992 = 205,992/x
  3. Step 3: Cross multiply
    153,288x = 205,992 × 205,992
  4. Step 4: Simplify right side
    153,288x = 42,432,704,064
  5. Step 5: Solve for x
    x = 42,432,704,064/153,288
  6. Step 6: Final answer
    x = 276,816.87

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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.