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Finding the Third Proportional to 196,225 and 423,808

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Solution

The third proportional to 196,225 and 423,808 is: 915,343.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,225 : 423,808 = 423,808 : x
  2. Step 2: Convert to fraction form
    196,225/423,808 = 423,808/x
  3. Step 3: Cross multiply
    196,225x = 423,808 × 423,808
  4. Step 4: Simplify right side
    196,225x = 179,613,220,864
  5. Step 5: Solve for x
    x = 179,613,220,864/196,225
  6. Step 6: Final answer
    x = 915,343.21

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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.