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Finding the Third Proportional to 201,685 and 429,866

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Solution

The third proportional to 201,685 and 429,866 is: 916,204.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,685 : 429,866 = 429,866 : x
  2. Step 2: Convert to fraction form
    201,685/429,866 = 429,866/x
  3. Step 3: Cross multiply
    201,685x = 429,866 × 429,866
  4. Step 4: Simplify right side
    201,685x = 184,784,777,956
  5. Step 5: Solve for x
    x = 184,784,777,956/201,685
  6. Step 6: Final answer
    x = 916,204.86

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.