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Finding the Third Proportional to 54,658 and 80,043

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Solution

The third proportional to 54,658 and 80,043 is: 117,217.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,658 : 80,043 = 80,043 : x
  2. Step 2: Convert to fraction form
    54,658/80,043 = 80,043/x
  3. Step 3: Cross multiply
    54,658x = 80,043 × 80,043
  4. Step 4: Simplify right side
    54,658x = 6,406,881,849
  5. Step 5: Solve for x
    x = 6,406,881,849/54,658
  6. Step 6: Final answer
    x = 117,217.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.