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Finding the Third Proportional to 70,122 and 105,911

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Solution

The third proportional to 70,122 and 105,911 is: 159,966.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,122 : 105,911 = 105,911 : x
  2. Step 2: Convert to fraction form
    70,122/105,911 = 105,911/x
  3. Step 3: Cross multiply
    70,122x = 105,911 × 105,911
  4. Step 4: Simplify right side
    70,122x = 11,217,139,921
  5. Step 5: Solve for x
    x = 11,217,139,921/70,122
  6. Step 6: Final answer
    x = 159,966.06

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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.