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Finding the Third Proportional to 81,780 and 119,118

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Solution

The third proportional to 81,780 and 119,118 is: 173,503.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,780 : 119,118 = 119,118 : x
  2. Step 2: Convert to fraction form
    81,780/119,118 = 119,118/x
  3. Step 3: Cross multiply
    81,780x = 119,118 × 119,118
  4. Step 4: Simplify right side
    81,780x = 14,189,097,924
  5. Step 5: Solve for x
    x = 14,189,097,924/81,780
  6. Step 6: Final answer
    x = 173,503.28

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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.