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Finding the Third Proportional to 30,720 and 45,099

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Solution

The third proportional to 30,720 and 45,099 is: 66,208.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,720 : 45,099 = 45,099 : x
  2. Step 2: Convert to fraction form
    30,720/45,099 = 45,099/x
  3. Step 3: Cross multiply
    30,720x = 45,099 × 45,099
  4. Step 4: Simplify right side
    30,720x = 2,033,919,801
  5. Step 5: Solve for x
    x = 2,033,919,801/30,720
  6. Step 6: Final answer
    x = 66,208.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.