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Finding the Third Proportional to 77,768 and 171,952

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Solution

The third proportional to 77,768 and 171,952 is: 380,201.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,768 : 171,952 = 171,952 : x
  2. Step 2: Convert to fraction form
    77,768/171,952 = 171,952/x
  3. Step 3: Cross multiply
    77,768x = 171,952 × 171,952
  4. Step 4: Simplify right side
    77,768x = 29,567,490,304
  5. Step 5: Solve for x
    x = 29,567,490,304/77,768
  6. Step 6: Final answer
    x = 380,201.24

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.