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Finding the Third Proportional to 66,649.50 and 146,214.56

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Solution

The third proportional to 66,649.50 and 146,214.56 is: 320,763.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,649.50 : 146,214.56 = 146,214.56 : x
  2. Step 2: Convert to fraction form
    66,649.50/146,214.56 = 146,214.56/x
  3. Step 3: Cross multiply
    66,649.50x = 146,214.56 × 146,214.56
  4. Step 4: Simplify right side
    66,649.50x = 21,378,698,287.07
  5. Step 5: Solve for x
    x = 21,378,698,287.07/66,649.50
  6. Step 6: Final answer
    x = 320,763.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.