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Finding the Third Proportional to 221,816 and 312,420

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Solution

The third proportional to 221,816 and 312,420 is: 440,032.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,816 : 312,420 = 312,420 : x
  2. Step 2: Convert to fraction form
    221,816/312,420 = 312,420/x
  3. Step 3: Cross multiply
    221,816x = 312,420 × 312,420
  4. Step 4: Simplify right side
    221,816x = 97,606,256,400
  5. Step 5: Solve for x
    x = 97,606,256,400/221,816
  6. Step 6: Final answer
    x = 440,032.53

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.