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Finding the Third Proportional to 35,985 and 78,881

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Solution

The third proportional to 35,985 and 78,881 is: 172,911.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,985 : 78,881 = 78,881 : x
  2. Step 2: Convert to fraction form
    35,985/78,881 = 78,881/x
  3. Step 3: Cross multiply
    35,985x = 78,881 × 78,881
  4. Step 4: Simplify right side
    35,985x = 6,222,212,161
  5. Step 5: Solve for x
    x = 6,222,212,161/35,985
  6. Step 6: Final answer
    x = 172,911.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.