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Finding the Third Proportional to 199,905 and 429,452

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Solution

The third proportional to 199,905 and 429,452 is: 922,583.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,905 : 429,452 = 429,452 : x
  2. Step 2: Convert to fraction form
    199,905/429,452 = 429,452/x
  3. Step 3: Cross multiply
    199,905x = 429,452 × 429,452
  4. Step 4: Simplify right side
    199,905x = 184,429,020,304
  5. Step 5: Solve for x
    x = 184,429,020,304/199,905
  6. Step 6: Final answer
    x = 922,583.33

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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.