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Finding the Third Proportional to 207,890 and 313,714

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Solution

The third proportional to 207,890 and 313,714 is: 473,406.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,890 : 313,714 = 313,714 : x
  2. Step 2: Convert to fraction form
    207,890/313,714 = 313,714/x
  3. Step 3: Cross multiply
    207,890x = 313,714 × 313,714
  4. Step 4: Simplify right side
    207,890x = 98,416,473,796
  5. Step 5: Solve for x
    x = 98,416,473,796/207,890
  6. Step 6: Final answer
    x = 473,406.48

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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.