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Finding the Third Proportional to 219,294 and 478,251

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Solution

The third proportional to 219,294 and 478,251 is: 1,043,001.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,294 : 478,251 = 478,251 : x
  2. Step 2: Convert to fraction form
    219,294/478,251 = 478,251/x
  3. Step 3: Cross multiply
    219,294x = 478,251 × 478,251
  4. Step 4: Simplify right side
    219,294x = 228,724,019,001
  5. Step 5: Solve for x
    x = 228,724,019,001/219,294
  6. Step 6: Final answer
    x = 1,043,001.72

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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.