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Finding the Third Proportional to 77,382 and 121,293

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Solution

The third proportional to 77,382 and 121,293 is: 190,121.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,382 : 121,293 = 121,293 : x
  2. Step 2: Convert to fraction form
    77,382/121,293 = 121,293/x
  3. Step 3: Cross multiply
    77,382x = 121,293 × 121,293
  4. Step 4: Simplify right side
    77,382x = 14,711,991,849
  5. Step 5: Solve for x
    x = 14,711,991,849/77,382
  6. Step 6: Final answer
    x = 190,121.63

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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.