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Finding the Third Proportional to 204,712 and 444,386

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Solution

The third proportional to 204,712 and 444,386 is: 964,667.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,712 : 444,386 = 444,386 : x
  2. Step 2: Convert to fraction form
    204,712/444,386 = 444,386/x
  3. Step 3: Cross multiply
    204,712x = 444,386 × 444,386
  4. Step 4: Simplify right side
    204,712x = 197,478,916,996
  5. Step 5: Solve for x
    x = 197,478,916,996/204,712
  6. Step 6: Final answer
    x = 964,667.03

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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.