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Finding the Third Proportional to 92,046 and 136,773

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Solution

The third proportional to 92,046 and 136,773 is: 203,233.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,046 : 136,773 = 136,773 : x
  2. Step 2: Convert to fraction form
    92,046/136,773 = 136,773/x
  3. Step 3: Cross multiply
    92,046x = 136,773 × 136,773
  4. Step 4: Simplify right side
    92,046x = 18,706,853,529
  5. Step 5: Solve for x
    x = 18,706,853,529/92,046
  6. Step 6: Final answer
    x = 203,233.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.