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Finding the Third Proportional to 220,428 and 450,196

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Solution

The third proportional to 220,428 and 450,196 is: 919,467.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,428 : 450,196 = 450,196 : x
  2. Step 2: Convert to fraction form
    220,428/450,196 = 450,196/x
  3. Step 3: Cross multiply
    220,428x = 450,196 × 450,196
  4. Step 4: Simplify right side
    220,428x = 202,676,438,416
  5. Step 5: Solve for x
    x = 202,676,438,416/220,428
  6. Step 6: Final answer
    x = 919,467.76

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.