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Finding the Third Proportional to 92,427.75 and 133,538.63

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Solution

The third proportional to 92,427.75 and 133,538.63 is: 192,935.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,427.75 : 133,538.63 = 133,538.63 : x
  2. Step 2: Convert to fraction form
    92,427.75/133,538.63 = 133,538.63/x
  3. Step 3: Cross multiply
    92,427.75x = 133,538.63 × 133,538.63
  4. Step 4: Simplify right side
    92,427.75x = 17,832,564,366.89
  5. Step 5: Solve for x
    x = 17,832,564,366.89/92,427.75
  6. Step 6: Final answer
    x = 192,935.18

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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.