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Finding the Third Proportional to 219,344 and 478,360

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Solution

The third proportional to 219,344 and 478,360 is: 1,043,239.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,344 : 478,360 = 478,360 : x
  2. Step 2: Convert to fraction form
    219,344/478,360 = 478,360/x
  3. Step 3: Cross multiply
    219,344x = 478,360 × 478,360
  4. Step 4: Simplify right side
    219,344x = 228,828,289,600
  5. Step 5: Solve for x
    x = 228,828,289,600/219,344
  6. Step 6: Final answer
    x = 1,043,239.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.