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Finding the Third Proportional to 70,102 and 105,989

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Solution

The third proportional to 70,102 and 105,989 is: 160,247.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,102 : 105,989 = 105,989 : x
  2. Step 2: Convert to fraction form
    70,102/105,989 = 105,989/x
  3. Step 3: Cross multiply
    70,102x = 105,989 × 105,989
  4. Step 4: Simplify right side
    70,102x = 11,233,668,121
  5. Step 5: Solve for x
    x = 11,233,668,121/70,102
  6. Step 6: Final answer
    x = 160,247.47

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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.