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Finding the Third Proportional to 225,226 and 489,655

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Solution

The third proportional to 225,226 and 489,655 is: 1,064,539.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,226 : 489,655 = 489,655 : x
  2. Step 2: Convert to fraction form
    225,226/489,655 = 489,655/x
  3. Step 3: Cross multiply
    225,226x = 489,655 × 489,655
  4. Step 4: Simplify right side
    225,226x = 239,762,019,025
  5. Step 5: Solve for x
    x = 239,762,019,025/225,226
  6. Step 6: Final answer
    x = 1,064,539.70

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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.