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Finding the Third Proportional to 77,478 and 119,721

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Solution

The third proportional to 77,478 and 119,721 is: 184,995.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,478 : 119,721 = 119,721 : x
  2. Step 2: Convert to fraction form
    77,478/119,721 = 119,721/x
  3. Step 3: Cross multiply
    77,478x = 119,721 × 119,721
  4. Step 4: Simplify right side
    77,478x = 14,333,117,841
  5. Step 5: Solve for x
    x = 14,333,117,841/77,478
  6. Step 6: Final answer
    x = 184,995.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.