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Finding the Third Proportional to 220,536 and 478,414

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Solution

The third proportional to 220,536 and 478,414 is: 1,037,834.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,536 : 478,414 = 478,414 : x
  2. Step 2: Convert to fraction form
    220,536/478,414 = 478,414/x
  3. Step 3: Cross multiply
    220,536x = 478,414 × 478,414
  4. Step 4: Simplify right side
    220,536x = 228,879,955,396
  5. Step 5: Solve for x
    x = 228,879,955,396/220,536
  6. Step 6: Final answer
    x = 1,037,834.89

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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.