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Finding the Third Proportional to 143,428.50 and 210,066.75

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Solution

The third proportional to 143,428.50 and 210,066.75 is: 307,665.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,428.50 : 210,066.75 = 210,066.75 : x
  2. Step 2: Convert to fraction form
    143,428.50/210,066.75 = 210,066.75/x
  3. Step 3: Cross multiply
    143,428.50x = 210,066.75 × 210,066.75
  4. Step 4: Simplify right side
    143,428.50x = 44,128,039,455.56
  5. Step 5: Solve for x
    x = 44,128,039,455.56/143,428.50
  6. Step 6: Final answer
    x = 307,665.77

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.