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Finding the Third Proportional to 198,901 and 429,575

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Solution

The third proportional to 198,901 and 429,575 is: 927,771.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,901 : 429,575 = 429,575 : x
  2. Step 2: Convert to fraction form
    198,901/429,575 = 429,575/x
  3. Step 3: Cross multiply
    198,901x = 429,575 × 429,575
  4. Step 4: Simplify right side
    198,901x = 184,534,680,625
  5. Step 5: Solve for x
    x = 184,534,680,625/198,901
  6. Step 6: Final answer
    x = 927,771.51

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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.