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Finding the Third Proportional to 11,566.13 and 23,446.13

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Solution

The third proportional to 11,566.13 and 23,446.13 is: 47,528.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,566.13 : 23,446.13 = 23,446.13 : x
  2. Step 2: Convert to fraction form
    11,566.13/23,446.13 = 23,446.13/x
  3. Step 3: Cross multiply
    11,566.13x = 23,446.13 × 23,446.13
  4. Step 4: Simplify right side
    11,566.13x = 549,720,777.52
  5. Step 5: Solve for x
    x = 549,720,777.52/11,566.13
  6. Step 6: Final answer
    x = 47,528.52

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.