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Finding the Third Proportional to 92,737 and 200,258

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Solution

The third proportional to 92,737 and 200,258 is: 432,440.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,737 : 200,258 = 200,258 : x
  2. Step 2: Convert to fraction form
    92,737/200,258 = 200,258/x
  3. Step 3: Cross multiply
    92,737x = 200,258 × 200,258
  4. Step 4: Simplify right side
    92,737x = 40,103,266,564
  5. Step 5: Solve for x
    x = 40,103,266,564/92,737
  6. Step 6: Final answer
    x = 432,440.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.