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Finding the Third Proportional to 103,737 and 211,275

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Solution

The third proportional to 103,737 and 211,275 is: 430,291.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,737 : 211,275 = 211,275 : x
  2. Step 2: Convert to fraction form
    103,737/211,275 = 211,275/x
  3. Step 3: Cross multiply
    103,737x = 211,275 × 211,275
  4. Step 4: Simplify right side
    103,737x = 44,637,125,625
  5. Step 5: Solve for x
    x = 44,637,125,625/103,737
  6. Step 6: Final answer
    x = 430,291.27

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.