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Finding the Third Proportional to 196,448 and 424,288

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Solution

The third proportional to 196,448 and 424,288 is: 916,376.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,448 : 424,288 = 424,288 : x
  2. Step 2: Convert to fraction form
    196,448/424,288 = 424,288/x
  3. Step 3: Cross multiply
    196,448x = 424,288 × 424,288
  4. Step 4: Simplify right side
    196,448x = 180,020,306,944
  5. Step 5: Solve for x
    x = 180,020,306,944/196,448
  6. Step 6: Final answer
    x = 916,376.38

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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.