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Finding the Third Proportional to 278,130.75 and 605,831.25

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Solution

The third proportional to 278,130.75 and 605,831.25 is: 1,319,636.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,130.75 : 605,831.25 = 605,831.25 : x
  2. Step 2: Convert to fraction form
    278,130.75/605,831.25 = 605,831.25/x
  3. Step 3: Cross multiply
    278,130.75x = 605,831.25 × 605,831.25
  4. Step 4: Simplify right side
    278,130.75x = 367,031,503,476.56
  5. Step 5: Solve for x
    x = 367,031,503,476.56/278,130.75
  6. Step 6: Final answer
    x = 1,319,636.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.