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Finding the Third Proportional to 257,796 and 378,793

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Solution

The third proportional to 257,796 and 378,793 is: 556,580.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,796 : 378,793 = 378,793 : x
  2. Step 2: Convert to fraction form
    257,796/378,793 = 378,793/x
  3. Step 3: Cross multiply
    257,796x = 378,793 × 378,793
  4. Step 4: Simplify right side
    257,796x = 143,484,136,849
  5. Step 5: Solve for x
    x = 143,484,136,849/257,796
  6. Step 6: Final answer
    x = 556,580.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.