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Finding the Third Proportional to 143,043.19 and 210,185.72

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Solution

The third proportional to 143,043.19 and 210,185.72 is: 308,844.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,043.19 : 210,185.72 = 210,185.72 : x
  2. Step 2: Convert to fraction form
    143,043.19/210,185.72 = 210,185.72/x
  3. Step 3: Cross multiply
    143,043.19x = 210,185.72 × 210,185.72
  4. Step 4: Simplify right side
    143,043.19x = 44,178,036,366.45
  5. Step 5: Solve for x
    x = 44,178,036,366.45/143,043.19
  6. Step 6: Final answer
    x = 308,844.04

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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.