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Finding the Third Proportional to 207,216 and 314,874

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Solution

The third proportional to 207,216 and 314,874 is: 478,465.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,216 : 314,874 = 314,874 : x
  2. Step 2: Convert to fraction form
    207,216/314,874 = 314,874/x
  3. Step 3: Cross multiply
    207,216x = 314,874 × 314,874
  4. Step 4: Simplify right side
    207,216x = 99,145,635,876
  5. Step 5: Solve for x
    x = 99,145,635,876/207,216
  6. Step 6: Final answer
    x = 478,465.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.