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Finding the Third Proportional to 9,831.25 and 21,390.25

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Solution

The third proportional to 9,831.25 and 21,390.25 is: 46,539.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,831.25 : 21,390.25 = 21,390.25 : x
  2. Step 2: Convert to fraction form
    9,831.25/21,390.25 = 21,390.25/x
  3. Step 3: Cross multiply
    9,831.25x = 21,390.25 × 21,390.25
  4. Step 4: Simplify right side
    9,831.25x = 457,542,795.06
  5. Step 5: Solve for x
    x = 457,542,795.06/9,831.25
  6. Step 6: Final answer
    x = 46,539.64

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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.