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Finding the Third Proportional to 199,264 and 431,724

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Solution

The third proportional to 199,264 and 431,724 is: 935,370.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,264 : 431,724 = 431,724 : x
  2. Step 2: Convert to fraction form
    199,264/431,724 = 431,724/x
  3. Step 3: Cross multiply
    199,264x = 431,724 × 431,724
  4. Step 4: Simplify right side
    199,264x = 186,385,612,176
  5. Step 5: Solve for x
    x = 186,385,612,176/199,264
  6. Step 6: Final answer
    x = 935,370.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.