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Finding the Third Proportional to 66,412.83 and 143,320.22

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Solution

The third proportional to 66,412.83 and 143,320.22 is: 309,287.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,412.83 : 143,320.22 = 143,320.22 : x
  2. Step 2: Convert to fraction form
    66,412.83/143,320.22 = 143,320.22/x
  3. Step 3: Cross multiply
    66,412.83x = 143,320.22 × 143,320.22
  4. Step 4: Simplify right side
    66,412.83x = 20,540,685,102.55
  5. Step 5: Solve for x
    x = 20,540,685,102.55/66,412.83
  6. Step 6: Final answer
    x = 309,287.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.