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Finding the Third Proportional to 447,540 and 972,996

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Solution

The third proportional to 447,540 and 972,996 is: 2,115,389.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,540 : 972,996 = 972,996 : x
  2. Step 2: Convert to fraction form
    447,540/972,996 = 972,996/x
  3. Step 3: Cross multiply
    447,540x = 972,996 × 972,996
  4. Step 4: Simplify right side
    447,540x = 946,721,216,016
  5. Step 5: Solve for x
    x = 946,721,216,016/447,540
  6. Step 6: Final answer
    x = 2,115,389.05

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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.