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Finding the Third Proportional to 423,950 and 909,324

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Solution

The third proportional to 423,950 and 909,324 is: 1,950,395.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,950 : 909,324 = 909,324 : x
  2. Step 2: Convert to fraction form
    423,950/909,324 = 909,324/x
  3. Step 3: Cross multiply
    423,950x = 909,324 × 909,324
  4. Step 4: Simplify right side
    423,950x = 826,870,136,976
  5. Step 5: Solve for x
    x = 826,870,136,976/423,950
  6. Step 6: Final answer
    x = 1,950,395.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.