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Finding the Third Proportional to 66,145.36 and 144,957.09

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Solution

The third proportional to 66,145.36 and 144,957.09 is: 317,672.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,145.36 : 144,957.09 = 144,957.09 : x
  2. Step 2: Convert to fraction form
    66,145.36/144,957.09 = 144,957.09/x
  3. Step 3: Cross multiply
    66,145.36x = 144,957.09 × 144,957.09
  4. Step 4: Simplify right side
    66,145.36x = 21,012,559,028.45
  5. Step 5: Solve for x
    x = 21,012,559,028.45/66,145.36
  6. Step 6: Final answer
    x = 317,672.46

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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.