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Finding the Third Proportional to 258,643.13 and 552,642.75

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Solution

The third proportional to 258,643.13 and 552,642.75 is: 1,180,831.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,643.13 : 552,642.75 = 552,642.75 : x
  2. Step 2: Convert to fraction form
    258,643.13/552,642.75 = 552,642.75/x
  3. Step 3: Cross multiply
    258,643.13x = 552,642.75 × 552,642.75
  4. Step 4: Simplify right side
    258,643.13x = 305,414,009,127.56
  5. Step 5: Solve for x
    x = 305,414,009,127.56/258,643.13
  6. Step 6: Final answer
    x = 1,180,831.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.