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Finding the Third Proportional to 9,978.19 and 20,913.19

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Solution

The third proportional to 9,978.19 and 20,913.19 is: 43,831.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,978.19 : 20,913.19 = 20,913.19 : x
  2. Step 2: Convert to fraction form
    9,978.19/20,913.19 = 20,913.19/x
  3. Step 3: Cross multiply
    9,978.19x = 20,913.19 × 20,913.19
  4. Step 4: Simplify right side
    9,978.19x = 437,361,411.41
  5. Step 5: Solve for x
    x = 437,361,411.41/9,978.19
  6. Step 6: Final answer
    x = 43,831.75

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.