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Finding the Third Proportional to 286,664 and 444,778

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Solution

The third proportional to 286,664 and 444,778 is: 690,102.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,664 : 444,778 = 444,778 : x
  2. Step 2: Convert to fraction form
    286,664/444,778 = 444,778/x
  3. Step 3: Cross multiply
    286,664x = 444,778 × 444,778
  4. Step 4: Simplify right side
    286,664x = 197,827,469,284
  5. Step 5: Solve for x
    x = 197,827,469,284/286,664
  6. Step 6: Final answer
    x = 690,102.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.