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Finding the Third Proportional to 77,978 and 121,521

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Solution

The third proportional to 77,978 and 121,521 is: 189,378.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,978 : 121,521 = 121,521 : x
  2. Step 2: Convert to fraction form
    77,978/121,521 = 121,521/x
  3. Step 3: Cross multiply
    77,978x = 121,521 × 121,521
  4. Step 4: Simplify right side
    77,978x = 14,767,353,441
  5. Step 5: Solve for x
    x = 14,767,353,441/77,978
  6. Step 6: Final answer
    x = 189,378.46

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.