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Finding the Third Proportional to 10,646.44 and 23,130.56

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Solution

The third proportional to 10,646.44 and 23,130.56 is: 50,253.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,646.44 : 23,130.56 = 23,130.56 : x
  2. Step 2: Convert to fraction form
    10,646.44/23,130.56 = 23,130.56/x
  3. Step 3: Cross multiply
    10,646.44x = 23,130.56 × 23,130.56
  4. Step 4: Simplify right side
    10,646.44x = 535,022,921.57
  5. Step 5: Solve for x
    x = 535,022,921.57/10,646.44
  6. Step 6: Final answer
    x = 50,253.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.