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Finding the Third Proportional to 207,913 and 321,806

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Solution

The third proportional to 207,913 and 321,806 is: 498,088.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,913 : 321,806 = 321,806 : x
  2. Step 2: Convert to fraction form
    207,913/321,806 = 321,806/x
  3. Step 3: Cross multiply
    207,913x = 321,806 × 321,806
  4. Step 4: Simplify right side
    207,913x = 103,559,101,636
  5. Step 5: Solve for x
    x = 103,559,101,636/207,913
  6. Step 6: Final answer
    x = 498,088.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.