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Finding the Third Proportional to 45,639 and 70,121

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Solution

The third proportional to 45,639 and 70,121 is: 107,735.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,639 : 70,121 = 70,121 : x
  2. Step 2: Convert to fraction form
    45,639/70,121 = 70,121/x
  3. Step 3: Cross multiply
    45,639x = 70,121 × 70,121
  4. Step 4: Simplify right side
    45,639x = 4,916,954,641
  5. Step 5: Solve for x
    x = 4,916,954,641/45,639
  6. Step 6: Final answer
    x = 107,735.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.