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Finding the Third Proportional to 77,966 and 121,507

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Solution

The third proportional to 77,966 and 121,507 is: 189,363.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,966 : 121,507 = 121,507 : x
  2. Step 2: Convert to fraction form
    77,966/121,507 = 121,507/x
  3. Step 3: Cross multiply
    77,966x = 121,507 × 121,507
  4. Step 4: Simplify right side
    77,966x = 14,763,951,049
  5. Step 5: Solve for x
    x = 14,763,951,049/77,966
  6. Step 6: Final answer
    x = 189,363.97

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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.