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Finding the Third Proportional to 199,820 and 413,487

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Solution

The third proportional to 199,820 and 413,487 is: 855,627.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,820 : 413,487 = 413,487 : x
  2. Step 2: Convert to fraction form
    199,820/413,487 = 413,487/x
  3. Step 3: Cross multiply
    199,820x = 413,487 × 413,487
  4. Step 4: Simplify right side
    199,820x = 170,971,499,169
  5. Step 5: Solve for x
    x = 170,971,499,169/199,820
  6. Step 6: Final answer
    x = 855,627.56

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.