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Finding the Third Proportional to 258,099.75 and 378,685.13

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Solution

The third proportional to 258,099.75 and 378,685.13 is: 555,608.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,099.75 : 378,685.13 = 378,685.13 : x
  2. Step 2: Convert to fraction form
    258,099.75/378,685.13 = 378,685.13/x
  3. Step 3: Cross multiply
    258,099.75x = 378,685.13 × 378,685.13
  4. Step 4: Simplify right side
    258,099.75x = 143,402,423,896.27
  5. Step 5: Solve for x
    x = 143,402,423,896.27/258,099.75
  6. Step 6: Final answer
    x = 555,608.53

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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.