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Finding the Third Proportional to 207,945 and 297,370

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Solution

The third proportional to 207,945 and 297,370 is: 425,251.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,945 : 297,370 = 297,370 : x
  2. Step 2: Convert to fraction form
    207,945/297,370 = 297,370/x
  3. Step 3: Cross multiply
    207,945x = 297,370 × 297,370
  4. Step 4: Simplify right side
    207,945x = 88,428,916,900
  5. Step 5: Solve for x
    x = 88,428,916,900/207,945
  6. Step 6: Final answer
    x = 425,251.47

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.