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Finding the Third Proportional to 66,980.19 and 144,476.72

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Solution

The third proportional to 66,980.19 and 144,476.72 is: 311,637.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,980.19 : 144,476.72 = 144,476.72 : x
  2. Step 2: Convert to fraction form
    66,980.19/144,476.72 = 144,476.72/x
  3. Step 3: Cross multiply
    66,980.19x = 144,476.72 × 144,476.72
  4. Step 4: Simplify right side
    66,980.19x = 20,873,522,260.77
  5. Step 5: Solve for x
    x = 20,873,522,260.77/66,980.19
  6. Step 6: Final answer
    x = 311,637.26

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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.