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Finding the Third Proportional to 45,430 and 69,734

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Solution

The third proportional to 45,430 and 69,734 is: 107,040.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,430 : 69,734 = 69,734 : x
  2. Step 2: Convert to fraction form
    45,430/69,734 = 69,734/x
  3. Step 3: Cross multiply
    45,430x = 69,734 × 69,734
  4. Step 4: Simplify right side
    45,430x = 4,862,830,756
  5. Step 5: Solve for x
    x = 4,862,830,756/45,430
  6. Step 6: Final answer
    x = 107,040.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.