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Finding the Third Proportional to 10,135.13 and 23,748.19

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Solution

The third proportional to 10,135.13 and 23,748.19 is: 55,645.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,135.13 : 23,748.19 = 23,748.19 : x
  2. Step 2: Convert to fraction form
    10,135.13/23,748.19 = 23,748.19/x
  3. Step 3: Cross multiply
    10,135.13x = 23,748.19 × 23,748.19
  4. Step 4: Simplify right side
    10,135.13x = 563,976,409.54
  5. Step 5: Solve for x
    x = 563,976,409.54/10,135.13
  6. Step 6: Final answer
    x = 55,645.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.