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Finding the Third Proportional to 70,120 and 105,913

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Solution

The third proportional to 70,120 and 105,913 is: 159,976.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,120 : 105,913 = 105,913 : x
  2. Step 2: Convert to fraction form
    70,120/105,913 = 105,913/x
  3. Step 3: Cross multiply
    70,120x = 105,913 × 105,913
  4. Step 4: Simplify right side
    70,120x = 11,217,563,569
  5. Step 5: Solve for x
    x = 11,217,563,569/70,120
  6. Step 6: Final answer
    x = 159,976.66

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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.