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Finding the Third Proportional to 216,468 and 339,660

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Solution

The third proportional to 216,468 and 339,660 is: 532,960.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,468 : 339,660 = 339,660 : x
  2. Step 2: Convert to fraction form
    216,468/339,660 = 339,660/x
  3. Step 3: Cross multiply
    216,468x = 339,660 × 339,660
  4. Step 4: Simplify right side
    216,468x = 115,368,915,600
  5. Step 5: Solve for x
    x = 115,368,915,600/216,468
  6. Step 6: Final answer
    x = 532,960.60

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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.