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Finding the Third Proportional to 220,556 and 478,453

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Solution

The third proportional to 220,556 and 478,453 is: 1,037,909.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,556 : 478,453 = 478,453 : x
  2. Step 2: Convert to fraction form
    220,556/478,453 = 478,453/x
  3. Step 3: Cross multiply
    220,556x = 478,453 × 478,453
  4. Step 4: Simplify right side
    220,556x = 228,917,273,209
  5. Step 5: Solve for x
    x = 228,917,273,209/220,556
  6. Step 6: Final answer
    x = 1,037,909.98

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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.