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Finding the Third Proportional to 7,140.38 and 14,453.72

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Solution

The third proportional to 7,140.38 and 14,453.72 is: 29,257.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,140.38 : 14,453.72 = 14,453.72 : x
  2. Step 2: Convert to fraction form
    7,140.38/14,453.72 = 14,453.72/x
  3. Step 3: Cross multiply
    7,140.38x = 14,453.72 × 14,453.72
  4. Step 4: Simplify right side
    7,140.38x = 208,909,985.70
  5. Step 5: Solve for x
    x = 208,909,985.70/7,140.38
  6. Step 6: Final answer
    x = 29,257.57

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.