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Finding the Third Proportional to 199,820 and 431,627

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Solution

The third proportional to 199,820 and 431,627 is: 932,348.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,820 : 431,627 = 431,627 : x
  2. Step 2: Convert to fraction form
    199,820/431,627 = 431,627/x
  3. Step 3: Cross multiply
    199,820x = 431,627 × 431,627
  4. Step 4: Simplify right side
    199,820x = 186,301,867,129
  5. Step 5: Solve for x
    x = 186,301,867,129/199,820
  6. Step 6: Final answer
    x = 932,348.45

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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.