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Finding the Third Proportional to 194,800 and 291,768

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Solution

The third proportional to 194,800 and 291,768 is: 437,004.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,800 : 291,768 = 291,768 : x
  2. Step 2: Convert to fraction form
    194,800/291,768 = 291,768/x
  3. Step 3: Cross multiply
    194,800x = 291,768 × 291,768
  4. Step 4: Simplify right side
    194,800x = 85,128,565,824
  5. Step 5: Solve for x
    x = 85,128,565,824/194,800
  6. Step 6: Final answer
    x = 437,004.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.