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Finding the Third Proportional to 207,415 and 329,804

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Solution

The third proportional to 207,415 and 329,804 is: 524,410.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,415 : 329,804 = 329,804 : x
  2. Step 2: Convert to fraction form
    207,415/329,804 = 329,804/x
  3. Step 3: Cross multiply
    207,415x = 329,804 × 329,804
  4. Step 4: Simplify right side
    207,415x = 108,770,678,416
  5. Step 5: Solve for x
    x = 108,770,678,416/207,415
  6. Step 6: Final answer
    x = 524,410.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.