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Finding the Third Proportional to 258,134 and 378,735

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Solution

The third proportional to 258,134 and 378,735 is: 555,681.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,134 : 378,735 = 378,735 : x
  2. Step 2: Convert to fraction form
    258,134/378,735 = 378,735/x
  3. Step 3: Cross multiply
    258,134x = 378,735 × 378,735
  4. Step 4: Simplify right side
    258,134x = 143,440,200,225
  5. Step 5: Solve for x
    x = 143,440,200,225/258,134
  6. Step 6: Final answer
    x = 555,681.16

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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.