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Finding the Third Proportional to 90,778 and 208,369

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Solution

The third proportional to 90,778 and 208,369 is: 478,283.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,778 : 208,369 = 208,369 : x
  2. Step 2: Convert to fraction form
    90,778/208,369 = 208,369/x
  3. Step 3: Cross multiply
    90,778x = 208,369 × 208,369
  4. Step 4: Simplify right side
    90,778x = 43,417,640,161
  5. Step 5: Solve for x
    x = 43,417,640,161/90,778
  6. Step 6: Final answer
    x = 478,283.73

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.