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Finding the Third Proportional to 194,252 and 423,808

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Solution

The third proportional to 194,252 and 423,808 is: 924,640.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,252 : 423,808 = 423,808 : x
  2. Step 2: Convert to fraction form
    194,252/423,808 = 423,808/x
  3. Step 3: Cross multiply
    194,252x = 423,808 × 423,808
  4. Step 4: Simplify right side
    194,252x = 179,613,220,864
  5. Step 5: Solve for x
    x = 179,613,220,864/194,252
  6. Step 6: Final answer
    x = 924,640.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.