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Finding the Third Proportional to 84,051 and 91,503

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Solution

The third proportional to 84,051 and 91,503 is: 99,615.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,051 : 91,503 = 91,503 : x
  2. Step 2: Convert to fraction form
    84,051/91,503 = 91,503/x
  3. Step 3: Cross multiply
    84,051x = 91,503 × 91,503
  4. Step 4: Simplify right side
    84,051x = 8,372,799,009
  5. Step 5: Solve for x
    x = 8,372,799,009/84,051
  6. Step 6: Final answer
    x = 99,615.70

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.