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Finding the Third Proportional to 30,235 and 65,663

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Solution

The third proportional to 30,235 and 65,663 is: 142,603.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,235 : 65,663 = 65,663 : x
  2. Step 2: Convert to fraction form
    30,235/65,663 = 65,663/x
  3. Step 3: Cross multiply
    30,235x = 65,663 × 65,663
  4. Step 4: Simplify right side
    30,235x = 4,311,629,569
  5. Step 5: Solve for x
    x = 4,311,629,569/30,235
  6. Step 6: Final answer
    x = 142,603.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.