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Finding the Third Proportional to 201,707 and 429,910

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Solution

The third proportional to 201,707 and 429,910 is: 916,292.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,707 : 429,910 = 429,910 : x
  2. Step 2: Convert to fraction form
    201,707/429,910 = 429,910/x
  3. Step 3: Cross multiply
    201,707x = 429,910 × 429,910
  4. Step 4: Simplify right side
    201,707x = 184,822,608,100
  5. Step 5: Solve for x
    x = 184,822,608,100/201,707
  6. Step 6: Final answer
    x = 916,292.48

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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.