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Finding the Third Proportional to 43,300 and 68,649

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Solution

The third proportional to 43,300 and 68,649 is: 108,838.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,300 : 68,649 = 68,649 : x
  2. Step 2: Convert to fraction form
    43,300/68,649 = 68,649/x
  3. Step 3: Cross multiply
    43,300x = 68,649 × 68,649
  4. Step 4: Simplify right side
    43,300x = 4,712,685,201
  5. Step 5: Solve for x
    x = 4,712,685,201/43,300
  6. Step 6: Final answer
    x = 108,838.00

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.