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Finding the Third Proportional to 43,678 and 65,877

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Solution

The third proportional to 43,678 and 65,877 is: 99,358.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,678 : 65,877 = 65,877 : x
  2. Step 2: Convert to fraction form
    43,678/65,877 = 65,877/x
  3. Step 3: Cross multiply
    43,678x = 65,877 × 65,877
  4. Step 4: Simplify right side
    43,678x = 4,339,779,129
  5. Step 5: Solve for x
    x = 4,339,779,129/43,678
  6. Step 6: Final answer
    x = 99,358.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.