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Finding the Third Proportional to 45,386 and 69,993

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Solution

The third proportional to 45,386 and 69,993 is: 107,941.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,386 : 69,993 = 69,993 : x
  2. Step 2: Convert to fraction form
    45,386/69,993 = 69,993/x
  3. Step 3: Cross multiply
    45,386x = 69,993 × 69,993
  4. Step 4: Simplify right side
    45,386x = 4,899,020,049
  5. Step 5: Solve for x
    x = 4,899,020,049/45,386
  6. Step 6: Final answer
    x = 107,941.22

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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.