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Finding the Third Proportional to 207,621 and 287,613

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Solution

The third proportional to 207,621 and 287,613 is: 398,424.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,621 : 287,613 = 287,613 : x
  2. Step 2: Convert to fraction form
    207,621/287,613 = 287,613/x
  3. Step 3: Cross multiply
    207,621x = 287,613 × 287,613
  4. Step 4: Simplify right side
    207,621x = 82,721,237,769
  5. Step 5: Solve for x
    x = 82,721,237,769/207,621
  6. Step 6: Final answer
    x = 398,424.23

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.