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Finding the Third Proportional to 45,220 and 69,960

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Solution

The third proportional to 45,220 and 69,960 is: 108,235.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,220 : 69,960 = 69,960 : x
  2. Step 2: Convert to fraction form
    45,220/69,960 = 69,960/x
  3. Step 3: Cross multiply
    45,220x = 69,960 × 69,960
  4. Step 4: Simplify right side
    45,220x = 4,894,401,600
  5. Step 5: Solve for x
    x = 4,894,401,600/45,220
  6. Step 6: Final answer
    x = 108,235.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.