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Finding the Third Proportional to 77,902 and 116,721

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Solution

The third proportional to 77,902 and 116,721 is: 174,883.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,902 : 116,721 = 116,721 : x
  2. Step 2: Convert to fraction form
    77,902/116,721 = 116,721/x
  3. Step 3: Cross multiply
    77,902x = 116,721 × 116,721
  4. Step 4: Simplify right side
    77,902x = 13,623,791,841
  5. Step 5: Solve for x
    x = 13,623,791,841/77,902
  6. Step 6: Final answer
    x = 174,883.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.