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Finding the Third Proportional to 43,501 and 83,546

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Solution

The third proportional to 43,501 and 83,546 is: 160,454.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,501 : 83,546 = 83,546 : x
  2. Step 2: Convert to fraction form
    43,501/83,546 = 83,546/x
  3. Step 3: Cross multiply
    43,501x = 83,546 × 83,546
  4. Step 4: Simplify right side
    43,501x = 6,979,934,116
  5. Step 5: Solve for x
    x = 6,979,934,116/43,501
  6. Step 6: Final answer
    x = 160,454.57

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.