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Finding the Third Proportional to 245,842 and 378,415

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Solution

The third proportional to 245,842 and 378,415 is: 582,479.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,842 : 378,415 = 378,415 : x
  2. Step 2: Convert to fraction form
    245,842/378,415 = 378,415/x
  3. Step 3: Cross multiply
    245,842x = 378,415 × 378,415
  4. Step 4: Simplify right side
    245,842x = 143,197,912,225
  5. Step 5: Solve for x
    x = 143,197,912,225/245,842
  6. Step 6: Final answer
    x = 582,479.45

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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.