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Finding the Third Proportional to 9,445.50 and 14,742.56

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Solution

The third proportional to 9,445.50 and 14,742.56 is: 23,010.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,445.50 : 14,742.56 = 14,742.56 : x
  2. Step 2: Convert to fraction form
    9,445.50/14,742.56 = 14,742.56/x
  3. Step 3: Cross multiply
    9,445.50x = 14,742.56 × 14,742.56
  4. Step 4: Simplify right side
    9,445.50x = 217,343,149.07
  5. Step 5: Solve for x
    x = 217,343,149.07/9,445.50
  6. Step 6: Final answer
    x = 23,010.23

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.