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Finding the Third Proportional to 444,622 and 689,502

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Solution

The third proportional to 444,622 and 689,502 is: 1,069,252.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,622 : 689,502 = 689,502 : x
  2. Step 2: Convert to fraction form
    444,622/689,502 = 689,502/x
  3. Step 3: Cross multiply
    444,622x = 689,502 × 689,502
  4. Step 4: Simplify right side
    444,622x = 475,413,008,004
  5. Step 5: Solve for x
    x = 475,413,008,004/444,622
  6. Step 6: Final answer
    x = 1,069,252.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.