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Finding the Third Proportional to 196,158 and 423,420

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Solution

The third proportional to 196,158 and 423,420 is: 913,980.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,158 : 423,420 = 423,420 : x
  2. Step 2: Convert to fraction form
    196,158/423,420 = 423,420/x
  3. Step 3: Cross multiply
    196,158x = 423,420 × 423,420
  4. Step 4: Simplify right side
    196,158x = 179,284,496,400
  5. Step 5: Solve for x
    x = 179,284,496,400/196,158
  6. Step 6: Final answer
    x = 913,980.04

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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.