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Finding the Third Proportional to 92,262 and 202,128

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Solution

The third proportional to 92,262 and 202,128 is: 442,822.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,262 : 202,128 = 202,128 : x
  2. Step 2: Convert to fraction form
    92,262/202,128 = 202,128/x
  3. Step 3: Cross multiply
    92,262x = 202,128 × 202,128
  4. Step 4: Simplify right side
    92,262x = 40,855,728,384
  5. Step 5: Solve for x
    x = 40,855,728,384/92,262
  6. Step 6: Final answer
    x = 442,822.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.