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Finding the Third Proportional to 10,975.50 and 15,683.63

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Solution

The third proportional to 10,975.50 and 15,683.63 is: 22,411.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,975.50 : 15,683.63 = 15,683.63 : x
  2. Step 2: Convert to fraction form
    10,975.50/15,683.63 = 15,683.63/x
  3. Step 3: Cross multiply
    10,975.50x = 15,683.63 × 15,683.63
  4. Step 4: Simplify right side
    10,975.50x = 245,976,093.14
  5. Step 5: Solve for x
    x = 245,976,093.14/10,975.50
  6. Step 6: Final answer
    x = 22,411.38

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.