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Finding the Third Proportional to 207,770 and 450,520

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Solution

The third proportional to 207,770 and 450,520 is: 976,889.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,770 : 450,520 = 450,520 : x
  2. Step 2: Convert to fraction form
    207,770/450,520 = 450,520/x
  3. Step 3: Cross multiply
    207,770x = 450,520 × 450,520
  4. Step 4: Simplify right side
    207,770x = 202,968,270,400
  5. Step 5: Solve for x
    x = 202,968,270,400/207,770
  6. Step 6: Final answer
    x = 976,889.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.