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Finding the Third Proportional to 92,050 and 136,323

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Solution

The third proportional to 92,050 and 136,323 is: 201,889.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,050 : 136,323 = 136,323 : x
  2. Step 2: Convert to fraction form
    92,050/136,323 = 136,323/x
  3. Step 3: Cross multiply
    92,050x = 136,323 × 136,323
  4. Step 4: Simplify right side
    92,050x = 18,583,960,329
  5. Step 5: Solve for x
    x = 18,583,960,329/92,050
  6. Step 6: Final answer
    x = 201,889.85

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.