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Finding the Third Proportional to 225,228 and 489,659

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Solution

The third proportional to 225,228 and 489,659 is: 1,064,547.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,228 : 489,659 = 489,659 : x
  2. Step 2: Convert to fraction form
    225,228/489,659 = 489,659/x
  3. Step 3: Cross multiply
    225,228x = 489,659 × 489,659
  4. Step 4: Simplify right side
    225,228x = 239,765,936,281
  5. Step 5: Solve for x
    x = 239,765,936,281/225,228
  6. Step 6: Final answer
    x = 1,064,547.64

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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.