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Finding the Third Proportional to 30,296.50 and 63,377

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Solution

The third proportional to 30,296.50 and 63,377 is: 132,577.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,296.50 : 63,377 = 63,377 : x
  2. Step 2: Convert to fraction form
    30,296.50/63,377 = 63,377/x
  3. Step 3: Cross multiply
    30,296.50x = 63,377 × 63,377
  4. Step 4: Simplify right side
    30,296.50x = 4,016,644,129
  5. Step 5: Solve for x
    x = 4,016,644,129/30,296.50
  6. Step 6: Final answer
    x = 132,577.83

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.