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Finding the Third Proportional to 196,224 and 423,806

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Solution

The third proportional to 196,224 and 423,806 is: 915,339.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,224 : 423,806 = 423,806 : x
  2. Step 2: Convert to fraction form
    196,224/423,806 = 423,806/x
  3. Step 3: Cross multiply
    196,224x = 423,806 × 423,806
  4. Step 4: Simplify right side
    196,224x = 179,611,525,636
  5. Step 5: Solve for x
    x = 179,611,525,636/196,224
  6. Step 6: Final answer
    x = 915,339.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.