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Finding the Third Proportional to 143,130.38 and 210,321.56

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Solution

The third proportional to 143,130.38 and 210,321.56 is: 309,055.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,130.38 : 210,321.56 = 210,321.56 : x
  2. Step 2: Convert to fraction form
    143,130.38/210,321.56 = 210,321.56/x
  3. Step 3: Cross multiply
    143,130.38x = 210,321.56 × 210,321.56
  4. Step 4: Simplify right side
    143,130.38x = 44,235,159,652.44
  5. Step 5: Solve for x
    x = 44,235,159,652.44/143,130.38
  6. Step 6: Final answer
    x = 309,055.01

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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.