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Finding the Third Proportional to 78,772 and 119,778

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Solution

The third proportional to 78,772 and 119,778 is: 182,130.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,772 : 119,778 = 119,778 : x
  2. Step 2: Convert to fraction form
    78,772/119,778 = 119,778/x
  3. Step 3: Cross multiply
    78,772x = 119,778 × 119,778
  4. Step 4: Simplify right side
    78,772x = 14,346,769,284
  5. Step 5: Solve for x
    x = 14,346,769,284/78,772
  6. Step 6: Final answer
    x = 182,130.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.