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Finding the Third Proportional to 220,776 and 480,210

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Solution

The third proportional to 220,776 and 480,210 is: 1,044,505.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,776 : 480,210 = 480,210 : x
  2. Step 2: Convert to fraction form
    220,776/480,210 = 480,210/x
  3. Step 3: Cross multiply
    220,776x = 480,210 × 480,210
  4. Step 4: Simplify right side
    220,776x = 230,601,644,100
  5. Step 5: Solve for x
    x = 230,601,644,100/220,776
  6. Step 6: Final answer
    x = 1,044,505.04

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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.