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Finding the Third Proportional to 258,040.69 and 277,723.69

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Solution

The third proportional to 258,040.69 and 277,723.69 is: 298,908.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,040.69 : 277,723.69 = 277,723.69 : x
  2. Step 2: Convert to fraction form
    258,040.69/277,723.69 = 277,723.69/x
  3. Step 3: Cross multiply
    258,040.69x = 277,723.69 × 277,723.69
  4. Step 4: Simplify right side
    258,040.69x = 77,130,446,598.60
  5. Step 5: Solve for x
    x = 77,130,446,598.60/258,040.69
  6. Step 6: Final answer
    x = 298,908.08

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.