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Finding the Third Proportional to 245,130 and 378,675

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Solution

The third proportional to 245,130 and 378,675 is: 584,974.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,130 : 378,675 = 378,675 : x
  2. Step 2: Convert to fraction form
    245,130/378,675 = 378,675/x
  3. Step 3: Cross multiply
    245,130x = 378,675 × 378,675
  4. Step 4: Simplify right side
    245,130x = 143,394,755,625
  5. Step 5: Solve for x
    x = 143,394,755,625/245,130
  6. Step 6: Final answer
    x = 584,974.32

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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.