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Finding the Third Proportional to 48,578 and 77,243

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Solution

The third proportional to 48,578 and 77,243 is: 122,822.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,578 : 77,243 = 77,243 : x
  2. Step 2: Convert to fraction form
    48,578/77,243 = 77,243/x
  3. Step 3: Cross multiply
    48,578x = 77,243 × 77,243
  4. Step 4: Simplify right side
    48,578x = 5,966,481,049
  5. Step 5: Solve for x
    x = 5,966,481,049/48,578
  6. Step 6: Final answer
    x = 122,822.70

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.