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Finding the Third Proportional to 4,603.50 and 11,431.13

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Solution

The third proportional to 4,603.50 and 11,431.13 is: 28,385.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,603.50 : 11,431.13 = 11,431.13 : x
  2. Step 2: Convert to fraction form
    4,603.50/11,431.13 = 11,431.13/x
  3. Step 3: Cross multiply
    4,603.50x = 11,431.13 × 11,431.13
  4. Step 4: Simplify right side
    4,603.50x = 130,670,618.77
  5. Step 5: Solve for x
    x = 130,670,618.77/4,603.50
  6. Step 6: Final answer
    x = 28,385.06

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.