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Finding the Third Proportional to 199,902 and 429,447

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Solution

The third proportional to 199,902 and 429,447 is: 922,575.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,902 : 429,447 = 429,447 : x
  2. Step 2: Convert to fraction form
    199,902/429,447 = 429,447/x
  3. Step 3: Cross multiply
    199,902x = 429,447 × 429,447
  4. Step 4: Simplify right side
    199,902x = 184,424,725,809
  5. Step 5: Solve for x
    x = 184,424,725,809/199,902
  6. Step 6: Final answer
    x = 922,575.69

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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.