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Finding the Third Proportional to 137,868 and 212,792

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Solution

The third proportional to 137,868 and 212,792 is: 328,433.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,868 : 212,792 = 212,792 : x
  2. Step 2: Convert to fraction form
    137,868/212,792 = 212,792/x
  3. Step 3: Cross multiply
    137,868x = 212,792 × 212,792
  4. Step 4: Simplify right side
    137,868x = 45,280,435,264
  5. Step 5: Solve for x
    x = 45,280,435,264/137,868
  6. Step 6: Final answer
    x = 328,433.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.