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Finding the Third Proportional to 207,947 and 314,856

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Solution

The third proportional to 207,947 and 314,856 is: 476,728.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,947 : 314,856 = 314,856 : x
  2. Step 2: Convert to fraction form
    207,947/314,856 = 314,856/x
  3. Step 3: Cross multiply
    207,947x = 314,856 × 314,856
  4. Step 4: Simplify right side
    207,947x = 99,134,300,736
  5. Step 5: Solve for x
    x = 99,134,300,736/207,947
  6. Step 6: Final answer
    x = 476,728.69

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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.