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Finding the Third Proportional to 49,078 and 77,747

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Solution

The third proportional to 49,078 and 77,747 is: 123,163.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,078 : 77,747 = 77,747 : x
  2. Step 2: Convert to fraction form
    49,078/77,747 = 77,747/x
  3. Step 3: Cross multiply
    49,078x = 77,747 × 77,747
  4. Step 4: Simplify right side
    49,078x = 6,044,596,009
  5. Step 5: Solve for x
    x = 6,044,596,009/49,078
  6. Step 6: Final answer
    x = 123,163.05

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.