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Finding the Third Proportional to 8,699.25 and 18,783.75

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Solution

The third proportional to 8,699.25 and 18,783.75 is: 40,558.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,699.25 : 18,783.75 = 18,783.75 : x
  2. Step 2: Convert to fraction form
    8,699.25/18,783.75 = 18,783.75/x
  3. Step 3: Cross multiply
    8,699.25x = 18,783.75 × 18,783.75
  4. Step 4: Simplify right side
    8,699.25x = 352,829,264.06
  5. Step 5: Solve for x
    x = 352,829,264.06/8,699.25
  6. Step 6: Final answer
    x = 40,558.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.