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Finding the Third Proportional to 5,415.75 and 7,603.88

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Solution

The third proportional to 5,415.75 and 7,603.88 is: 10,676.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,415.75 : 7,603.88 = 7,603.88 : x
  2. Step 2: Convert to fraction form
    5,415.75/7,603.88 = 7,603.88/x
  3. Step 3: Cross multiply
    5,415.75x = 7,603.88 × 7,603.88
  4. Step 4: Simplify right side
    5,415.75x = 57,818,915.02
  5. Step 5: Solve for x
    x = 57,818,915.02/5,415.75
  6. Step 6: Final answer
    x = 10,676.07

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.