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Finding the Third Proportional to 143,422.31 and 210,980.53

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Solution

The third proportional to 143,422.31 and 210,980.53 is: 310,361.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,422.31 : 210,980.53 = 210,980.53 : x
  2. Step 2: Convert to fraction form
    143,422.31/210,980.53 = 210,980.53/x
  3. Step 3: Cross multiply
    143,422.31x = 210,980.53 × 210,980.53
  4. Step 4: Simplify right side
    143,422.31x = 44,512,784,566.53
  5. Step 5: Solve for x
    x = 44,512,784,566.53/143,422.31
  6. Step 6: Final answer
    x = 310,361.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.