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Finding the Third Proportional to 196,447 and 424,196

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Solution

The third proportional to 196,447 and 424,196 is: 915,983.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,447 : 424,196 = 424,196 : x
  2. Step 2: Convert to fraction form
    196,447/424,196 = 424,196/x
  3. Step 3: Cross multiply
    196,447x = 424,196 × 424,196
  4. Step 4: Simplify right side
    196,447x = 179,942,246,416
  5. Step 5: Solve for x
    x = 179,942,246,416/196,447
  6. Step 6: Final answer
    x = 915,983.68

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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.