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Finding the Third Proportional to 216,792 and 340,530

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Solution

The third proportional to 216,792 and 340,530 is: 534,893.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,792 : 340,530 = 340,530 : x
  2. Step 2: Convert to fraction form
    216,792/340,530 = 340,530/x
  3. Step 3: Cross multiply
    216,792x = 340,530 × 340,530
  4. Step 4: Simplify right side
    216,792x = 115,960,680,900
  5. Step 5: Solve for x
    x = 115,960,680,900/216,792
  6. Step 6: Final answer
    x = 534,893.73

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.