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Finding the Third Proportional to 216,339 and 322,708

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Solution

The third proportional to 216,339 and 322,708 is: 481,376.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,339 : 322,708 = 322,708 : x
  2. Step 2: Convert to fraction form
    216,339/322,708 = 322,708/x
  3. Step 3: Cross multiply
    216,339x = 322,708 × 322,708
  4. Step 4: Simplify right side
    216,339x = 104,140,453,264
  5. Step 5: Solve for x
    x = 104,140,453,264/216,339
  6. Step 6: Final answer
    x = 481,376.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.