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Finding the Third Proportional to 30,910 and 45,250

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Solution

The third proportional to 30,910 and 45,250 is: 66,242.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,910 : 45,250 = 45,250 : x
  2. Step 2: Convert to fraction form
    30,910/45,250 = 45,250/x
  3. Step 3: Cross multiply
    30,910x = 45,250 × 45,250
  4. Step 4: Simplify right side
    30,910x = 2,047,562,500
  5. Step 5: Solve for x
    x = 2,047,562,500/30,910
  6. Step 6: Final answer
    x = 66,242.72

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.