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Finding the Third Proportional to 207,038 and 291,477

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Solution

The third proportional to 207,038 and 291,477 is: 410,353.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,038 : 291,477 = 291,477 : x
  2. Step 2: Convert to fraction form
    207,038/291,477 = 291,477/x
  3. Step 3: Cross multiply
    207,038x = 291,477 × 291,477
  4. Step 4: Simplify right side
    207,038x = 84,958,841,529
  5. Step 5: Solve for x
    x = 84,958,841,529/207,038
  6. Step 6: Final answer
    x = 410,353.86

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.