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Finding the Third Proportional to 207,419 and 313,038

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Solution

The third proportional to 207,419 and 313,038 is: 472,438.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,419 : 313,038 = 313,038 : x
  2. Step 2: Convert to fraction form
    207,419/313,038 = 313,038/x
  3. Step 3: Cross multiply
    207,419x = 313,038 × 313,038
  4. Step 4: Simplify right side
    207,419x = 97,992,789,444
  5. Step 5: Solve for x
    x = 97,992,789,444/207,419
  6. Step 6: Final answer
    x = 472,438.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.