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Finding the Third Proportional to 218,469 and 474,303

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Solution

The third proportional to 218,469 and 474,303 is: 1,029,726.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,469 : 474,303 = 474,303 : x
  2. Step 2: Convert to fraction form
    218,469/474,303 = 474,303/x
  3. Step 3: Cross multiply
    218,469x = 474,303 × 474,303
  4. Step 4: Simplify right side
    218,469x = 224,963,335,809
  5. Step 5: Solve for x
    x = 224,963,335,809/218,469
  6. Step 6: Final answer
    x = 1,029,726.58

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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.