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Finding the Third Proportional to 23,513.63 and 36,423.56

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Solution

The third proportional to 23,513.63 and 36,423.56 is: 56,421.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,513.63 : 36,423.56 = 36,423.56 : x
  2. Step 2: Convert to fraction form
    23,513.63/36,423.56 = 36,423.56/x
  3. Step 3: Cross multiply
    23,513.63x = 36,423.56 × 36,423.56
  4. Step 4: Simplify right side
    23,513.63x = 1,326,675,905.19
  5. Step 5: Solve for x
    x = 1,326,675,905.19/23,513.63
  6. Step 6: Final answer
    x = 56,421.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.