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Finding the Third Proportional to 216,324 and 322,686

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Solution

The third proportional to 216,324 and 322,686 is: 481,343.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,324 : 322,686 = 322,686 : x
  2. Step 2: Convert to fraction form
    216,324/322,686 = 322,686/x
  3. Step 3: Cross multiply
    216,324x = 322,686 × 322,686
  4. Step 4: Simplify right side
    216,324x = 104,126,254,596
  5. Step 5: Solve for x
    x = 104,126,254,596/216,324
  6. Step 6: Final answer
    x = 481,343.98

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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.