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Finding the Third Proportional to 219,439 and 472,178

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Solution

The third proportional to 219,439 and 472,178 is: 1,016,009.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,439 : 472,178 = 472,178 : x
  2. Step 2: Convert to fraction form
    219,439/472,178 = 472,178/x
  3. Step 3: Cross multiply
    219,439x = 472,178 × 472,178
  4. Step 4: Simplify right side
    219,439x = 222,952,063,684
  5. Step 5: Solve for x
    x = 222,952,063,684/219,439
  6. Step 6: Final answer
    x = 1,016,009.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.