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Finding the Third Proportional to 245,840 and 378,412

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Solution

The third proportional to 245,840 and 378,412 is: 582,474.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,840 : 378,412 = 378,412 : x
  2. Step 2: Convert to fraction form
    245,840/378,412 = 378,412/x
  3. Step 3: Cross multiply
    245,840x = 378,412 × 378,412
  4. Step 4: Simplify right side
    245,840x = 143,195,641,744
  5. Step 5: Solve for x
    x = 143,195,641,744/245,840
  6. Step 6: Final answer
    x = 582,474.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.