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Finding the Third Proportional to 45,380 and 66,770

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Solution

The third proportional to 45,380 and 66,770 is: 98,242.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,380 : 66,770 = 66,770 : x
  2. Step 2: Convert to fraction form
    45,380/66,770 = 66,770/x
  3. Step 3: Cross multiply
    45,380x = 66,770 × 66,770
  4. Step 4: Simplify right side
    45,380x = 4,458,232,900
  5. Step 5: Solve for x
    x = 4,458,232,900/45,380
  6. Step 6: Final answer
    x = 98,242.24

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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.