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Finding the Third Proportional to 219,216 and 478,148

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Solution

The third proportional to 219,216 and 478,148 is: 1,042,923.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,216 : 478,148 = 478,148 : x
  2. Step 2: Convert to fraction form
    219,216/478,148 = 478,148/x
  3. Step 3: Cross multiply
    219,216x = 478,148 × 478,148
  4. Step 4: Simplify right side
    219,216x = 228,625,509,904
  5. Step 5: Solve for x
    x = 228,625,509,904/219,216
  6. Step 6: Final answer
    x = 1,042,923.46

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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.