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Finding the Third Proportional to 11,567.25 and 24,410.25

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Solution

The third proportional to 11,567.25 and 24,410.25 is: 51,512.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,567.25 : 24,410.25 = 24,410.25 : x
  2. Step 2: Convert to fraction form
    11,567.25/24,410.25 = 24,410.25/x
  3. Step 3: Cross multiply
    11,567.25x = 24,410.25 × 24,410.25
  4. Step 4: Simplify right side
    11,567.25x = 595,860,305.06
  5. Step 5: Solve for x
    x = 595,860,305.06/11,567.25
  6. Step 6: Final answer
    x = 51,512.70

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.