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Finding the Third Proportional to 49,289 and 77,220

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Solution

The third proportional to 49,289 and 77,220 is: 120,978.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,289 : 77,220 = 77,220 : x
  2. Step 2: Convert to fraction form
    49,289/77,220 = 77,220/x
  3. Step 3: Cross multiply
    49,289x = 77,220 × 77,220
  4. Step 4: Simplify right side
    49,289x = 5,962,928,400
  5. Step 5: Solve for x
    x = 5,962,928,400/49,289
  6. Step 6: Final answer
    x = 120,978.89

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.