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Finding the Third Proportional to 181,505 and 258,078

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Solution

The third proportional to 181,505 and 258,078 is: 366,955.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,505 : 258,078 = 258,078 : x
  2. Step 2: Convert to fraction form
    181,505/258,078 = 258,078/x
  3. Step 3: Cross multiply
    181,505x = 258,078 × 258,078
  4. Step 4: Simplify right side
    181,505x = 66,604,254,084
  5. Step 5: Solve for x
    x = 66,604,254,084/181,505
  6. Step 6: Final answer
    x = 366,955.48

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.