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Finding the Third Proportional to 258,040 and 379,455

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Solution

The third proportional to 258,040 and 379,455 is: 557,999.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,040 : 379,455 = 379,455 : x
  2. Step 2: Convert to fraction form
    258,040/379,455 = 379,455/x
  3. Step 3: Cross multiply
    258,040x = 379,455 × 379,455
  4. Step 4: Simplify right side
    258,040x = 143,986,097,025
  5. Step 5: Solve for x
    x = 143,986,097,025/258,040
  6. Step 6: Final answer
    x = 557,999.14

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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.