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Finding the Third Proportional to 14,590.13 and 23,505.19

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Solution

The third proportional to 14,590.13 and 23,505.19 is: 37,867.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,590.13 : 23,505.19 = 23,505.19 : x
  2. Step 2: Convert to fraction form
    14,590.13/23,505.19 = 23,505.19/x
  3. Step 3: Cross multiply
    14,590.13x = 23,505.19 × 23,505.19
  4. Step 4: Simplify right side
    14,590.13x = 552,493,839.41
  5. Step 5: Solve for x
    x = 552,493,839.41/14,590.13
  6. Step 6: Final answer
    x = 37,867.66

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.