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Finding the Third Proportional to 10,212.75 and 15,783.19

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Solution

The third proportional to 10,212.75 and 15,783.19 is: 24,391.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,212.75 : 15,783.19 = 15,783.19 : x
  2. Step 2: Convert to fraction form
    10,212.75/15,783.19 = 15,783.19/x
  3. Step 3: Cross multiply
    10,212.75x = 15,783.19 × 15,783.19
  4. Step 4: Simplify right side
    10,212.75x = 249,109,007.66
  5. Step 5: Solve for x
    x = 249,109,007.66/10,212.75
  6. Step 6: Final answer
    x = 24,391.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.