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Finding the Third Proportional to 443,441 and 972,721

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Solution

The third proportional to 443,441 and 972,721 is: 2,133,736.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,441 : 972,721 = 972,721 : x
  2. Step 2: Convert to fraction form
    443,441/972,721 = 972,721/x
  3. Step 3: Cross multiply
    443,441x = 972,721 × 972,721
  4. Step 4: Simplify right side
    443,441x = 946,186,143,841
  5. Step 5: Solve for x
    x = 946,186,143,841/443,441
  6. Step 6: Final answer
    x = 2,133,736.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.