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Finding the Third Proportional to 258,200 and 378,840

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Solution

The third proportional to 258,200 and 378,840 is: 555,847.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,200 : 378,840 = 378,840 : x
  2. Step 2: Convert to fraction form
    258,200/378,840 = 378,840/x
  3. Step 3: Cross multiply
    258,200x = 378,840 × 378,840
  4. Step 4: Simplify right side
    258,200x = 143,519,745,600
  5. Step 5: Solve for x
    x = 143,519,745,600/258,200
  6. Step 6: Final answer
    x = 555,847.19

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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.