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Finding the Third Proportional to 206,484 and 290,778

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Solution

The third proportional to 206,484 and 290,778 is: 409,483.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,484 : 290,778 = 290,778 : x
  2. Step 2: Convert to fraction form
    206,484/290,778 = 290,778/x
  3. Step 3: Cross multiply
    206,484x = 290,778 × 290,778
  4. Step 4: Simplify right side
    206,484x = 84,551,845,284
  5. Step 5: Solve for x
    x = 84,551,845,284/206,484
  6. Step 6: Final answer
    x = 409,483.76

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.