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Finding the Third Proportional to 207,886 and 313,710

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Solution

The third proportional to 207,886 and 313,710 is: 473,403.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,886 : 313,710 = 313,710 : x
  2. Step 2: Convert to fraction form
    207,886/313,710 = 313,710/x
  3. Step 3: Cross multiply
    207,886x = 313,710 × 313,710
  4. Step 4: Simplify right side
    207,886x = 98,413,964,100
  5. Step 5: Solve for x
    x = 98,413,964,100/207,886
  6. Step 6: Final answer
    x = 473,403.52

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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.