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Finding the Third Proportional to 207,042 and 291,483

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Solution

The third proportional to 207,042 and 291,483 is: 410,362.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,042 : 291,483 = 291,483 : x
  2. Step 2: Convert to fraction form
    207,042/291,483 = 291,483/x
  3. Step 3: Cross multiply
    207,042x = 291,483 × 291,483
  4. Step 4: Simplify right side
    207,042x = 84,962,339,289
  5. Step 5: Solve for x
    x = 84,962,339,289/207,042
  6. Step 6: Final answer
    x = 410,362.82

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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.