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Finding the Third Proportional to 69,720 and 105,236

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Solution

The third proportional to 69,720 and 105,236 is: 158,844.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,720 : 105,236 = 105,236 : x
  2. Step 2: Convert to fraction form
    69,720/105,236 = 105,236/x
  3. Step 3: Cross multiply
    69,720x = 105,236 × 105,236
  4. Step 4: Simplify right side
    69,720x = 11,074,615,696
  5. Step 5: Solve for x
    x = 11,074,615,696/69,720
  6. Step 6: Final answer
    x = 158,844.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.