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Finding the Third Proportional to 4,675.50 and 9,498.38

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Solution

The third proportional to 4,675.50 and 9,498.38 is: 19,296.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,675.50 : 9,498.38 = 9,498.38 : x
  2. Step 2: Convert to fraction form
    4,675.50/9,498.38 = 9,498.38/x
  3. Step 3: Cross multiply
    4,675.50x = 9,498.38 × 9,498.38
  4. Step 4: Simplify right side
    4,675.50x = 90,219,127.64
  5. Step 5: Solve for x
    x = 90,219,127.64/4,675.50
  6. Step 6: Final answer
    x = 19,296.15

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.