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Finding the Third Proportional to 133,942 and 202,639

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Solution

The third proportional to 133,942 and 202,639 is: 306,569.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,942 : 202,639 = 202,639 : x
  2. Step 2: Convert to fraction form
    133,942/202,639 = 202,639/x
  3. Step 3: Cross multiply
    133,942x = 202,639 × 202,639
  4. Step 4: Simplify right side
    133,942x = 41,062,564,321
  5. Step 5: Solve for x
    x = 41,062,564,321/133,942
  6. Step 6: Final answer
    x = 306,569.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.