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Finding the Third Proportional to 78,768 and 119,772

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Solution

The third proportional to 78,768 and 119,772 is: 182,121.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,768 : 119,772 = 119,772 : x
  2. Step 2: Convert to fraction form
    78,768/119,772 = 119,772/x
  3. Step 3: Cross multiply
    78,768x = 119,772 × 119,772
  4. Step 4: Simplify right side
    78,768x = 14,345,331,984
  5. Step 5: Solve for x
    x = 14,345,331,984/78,768
  6. Step 6: Final answer
    x = 182,121.32

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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.