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Finding the Third Proportional to 30,005 and 45,242

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Solution

The third proportional to 30,005 and 45,242 is: 68,216.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,005 : 45,242 = 45,242 : x
  2. Step 2: Convert to fraction form
    30,005/45,242 = 45,242/x
  3. Step 3: Cross multiply
    30,005x = 45,242 × 45,242
  4. Step 4: Simplify right side
    30,005x = 2,046,838,564
  5. Step 5: Solve for x
    x = 2,046,838,564/30,005
  6. Step 6: Final answer
    x = 68,216.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.