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Finding the Third Proportional to 201,703 and 429,902

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Solution

The third proportional to 201,703 and 429,902 is: 916,276.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,703 : 429,902 = 429,902 : x
  2. Step 2: Convert to fraction form
    201,703/429,902 = 429,902/x
  3. Step 3: Cross multiply
    201,703x = 429,902 × 429,902
  4. Step 4: Simplify right side
    201,703x = 184,815,729,604
  5. Step 5: Solve for x
    x = 184,815,729,604/201,703
  6. Step 6: Final answer
    x = 916,276.55

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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.