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Finding the Third Proportional to 207,378 and 306,691

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Solution

The third proportional to 207,378 and 306,691 is: 453,564.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,378 : 306,691 = 306,691 : x
  2. Step 2: Convert to fraction form
    207,378/306,691 = 306,691/x
  3. Step 3: Cross multiply
    207,378x = 306,691 × 306,691
  4. Step 4: Simplify right side
    207,378x = 94,059,369,481
  5. Step 5: Solve for x
    x = 94,059,369,481/207,378
  6. Step 6: Final answer
    x = 453,564.84

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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.