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Finding the Third Proportional to 35,221 and 78,317

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Solution

The third proportional to 35,221 and 78,317 is: 174,144.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,221 : 78,317 = 78,317 : x
  2. Step 2: Convert to fraction form
    35,221/78,317 = 78,317/x
  3. Step 3: Cross multiply
    35,221x = 78,317 × 78,317
  4. Step 4: Simplify right side
    35,221x = 6,133,552,489
  5. Step 5: Solve for x
    x = 6,133,552,489/35,221
  6. Step 6: Final answer
    x = 174,144.76

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.