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Finding the Third Proportional to 84,207 and 187,107

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Solution

The third proportional to 84,207 and 187,107 is: 415,749.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,207 : 187,107 = 187,107 : x
  2. Step 2: Convert to fraction form
    84,207/187,107 = 187,107/x
  3. Step 3: Cross multiply
    84,207x = 187,107 × 187,107
  4. Step 4: Simplify right side
    84,207x = 35,009,029,449
  5. Step 5: Solve for x
    x = 35,009,029,449/84,207
  6. Step 6: Final answer
    x = 415,749.63

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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.