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Finding the Third Proportional to 30,801.50 and 75,636

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Solution

The third proportional to 30,801.50 and 75,636 is: 185,731.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,801.50 : 75,636 = 75,636 : x
  2. Step 2: Convert to fraction form
    30,801.50/75,636 = 75,636/x
  3. Step 3: Cross multiply
    30,801.50x = 75,636 × 75,636
  4. Step 4: Simplify right side
    30,801.50x = 5,720,804,496
  5. Step 5: Solve for x
    x = 5,720,804,496/30,801.50
  6. Step 6: Final answer
    x = 185,731.36

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Why These Related Problems?

These problems maintain the same ratio (2.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.