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Finding the Third Proportional to 207,380 and 306,694

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Solution

The third proportional to 207,380 and 306,694 is: 453,569.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,380 : 306,694 = 306,694 : x
  2. Step 2: Convert to fraction form
    207,380/306,694 = 306,694/x
  3. Step 3: Cross multiply
    207,380x = 306,694 × 306,694
  4. Step 4: Simplify right side
    207,380x = 94,061,209,636
  5. Step 5: Solve for x
    x = 94,061,209,636/207,380
  6. Step 6: Final answer
    x = 453,569.34

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.