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Finding the Third Proportional to 199,687 and 429,821

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Solution

The third proportional to 199,687 and 429,821 is: 925,178.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,687 : 429,821 = 429,821 : x
  2. Step 2: Convert to fraction form
    199,687/429,821 = 429,821/x
  3. Step 3: Cross multiply
    199,687x = 429,821 × 429,821
  4. Step 4: Simplify right side
    199,687x = 184,746,092,041
  5. Step 5: Solve for x
    x = 184,746,092,041/199,687
  6. Step 6: Final answer
    x = 925,178.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.