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Finding the Third Proportional to 196,140 and 423,376

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Solution

The third proportional to 196,140 and 423,376 is: 913,873.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,140 : 423,376 = 423,376 : x
  2. Step 2: Convert to fraction form
    196,140/423,376 = 423,376/x
  3. Step 3: Cross multiply
    196,140x = 423,376 × 423,376
  4. Step 4: Simplify right side
    196,140x = 179,247,237,376
  5. Step 5: Solve for x
    x = 179,247,237,376/196,140
  6. Step 6: Final answer
    x = 913,873.95

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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.