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Finding the Third Proportional to 207,238 and 309,574

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Solution

The third proportional to 207,238 and 309,574 is: 462,444.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,238 : 309,574 = 309,574 : x
  2. Step 2: Convert to fraction form
    207,238/309,574 = 309,574/x
  3. Step 3: Cross multiply
    207,238x = 309,574 × 309,574
  4. Step 4: Simplify right side
    207,238x = 95,836,061,476
  5. Step 5: Solve for x
    x = 95,836,061,476/207,238
  6. Step 6: Final answer
    x = 462,444.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.