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Finding the Third Proportional to 30,566.74 and 66,370.32

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Solution

The third proportional to 30,566.74 and 66,370.32 is: 144,111.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,566.74 : 66,370.32 = 66,370.32 : x
  2. Step 2: Convert to fraction form
    30,566.74/66,370.32 = 66,370.32/x
  3. Step 3: Cross multiply
    30,566.74x = 66,370.32 × 66,370.32
  4. Step 4: Simplify right side
    30,566.74x = 4,405,019,936.90
  5. Step 5: Solve for x
    x = 4,405,019,936.90/30,566.74
  6. Step 6: Final answer
    x = 144,111.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.