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Finding the Third Proportional to 64,197.56 and 92,471.94

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Solution

The third proportional to 64,197.56 and 92,471.94 is: 133,199.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,197.56 : 92,471.94 = 92,471.94 : x
  2. Step 2: Convert to fraction form
    64,197.56/92,471.94 = 92,471.94/x
  3. Step 3: Cross multiply
    64,197.56x = 92,471.94 × 92,471.94
  4. Step 4: Simplify right side
    64,197.56x = 8,551,059,947.44
  5. Step 5: Solve for x
    x = 8,551,059,947.44/64,197.56
  6. Step 6: Final answer
    x = 133,199.14

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.