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Finding the Third Proportional to 45,047 and 70,661

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Solution

The third proportional to 45,047 and 70,661 is: 110,839.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,047 : 70,661 = 70,661 : x
  2. Step 2: Convert to fraction form
    45,047/70,661 = 70,661/x
  3. Step 3: Cross multiply
    45,047x = 70,661 × 70,661
  4. Step 4: Simplify right side
    45,047x = 4,992,976,921
  5. Step 5: Solve for x
    x = 4,992,976,921/45,047
  6. Step 6: Final answer
    x = 110,839.28

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.