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Finding the Third Proportional to 225,513 and 489,905

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Solution

The third proportional to 225,513 and 489,905 is: 1,064,270.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,513 : 489,905 = 489,905 : x
  2. Step 2: Convert to fraction form
    225,513/489,905 = 489,905/x
  3. Step 3: Cross multiply
    225,513x = 489,905 × 489,905
  4. Step 4: Simplify right side
    225,513x = 240,006,909,025
  5. Step 5: Solve for x
    x = 240,006,909,025/225,513
  6. Step 6: Final answer
    x = 1,064,270.84

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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.