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Finding the Third Proportional to 66,284.89 and 143,205.79

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Solution

The third proportional to 66,284.89 and 143,205.79 is: 309,390.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,284.89 : 143,205.79 = 143,205.79 : x
  2. Step 2: Convert to fraction form
    66,284.89/143,205.79 = 143,205.79/x
  3. Step 3: Cross multiply
    66,284.89x = 143,205.79 × 143,205.79
  4. Step 4: Simplify right side
    66,284.89x = 20,507,896,902.22
  5. Step 5: Solve for x
    x = 20,507,896,902.22/66,284.89
  6. Step 6: Final answer
    x = 309,390.20

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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.