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Finding the Third Proportional to 210,615 and 454,443

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Solution

The third proportional to 210,615 and 454,443 is: 980,549.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,615 : 454,443 = 454,443 : x
  2. Step 2: Convert to fraction form
    210,615/454,443 = 454,443/x
  3. Step 3: Cross multiply
    210,615x = 454,443 × 454,443
  4. Step 4: Simplify right side
    210,615x = 206,518,440,249
  5. Step 5: Solve for x
    x = 206,518,440,249/210,615
  6. Step 6: Final answer
    x = 980,549.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.