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Finding the Third Proportional to 143,786.81 and 302,445.56

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Solution

The third proportional to 143,786.81 and 302,445.56 is: 636,173.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,786.81 : 302,445.56 = 302,445.56 : x
  2. Step 2: Convert to fraction form
    143,786.81/302,445.56 = 302,445.56/x
  3. Step 3: Cross multiply
    143,786.81x = 302,445.56 × 302,445.56
  4. Step 4: Simplify right side
    143,786.81x = 91,473,318,275.94
  5. Step 5: Solve for x
    x = 91,473,318,275.94/143,786.81
  6. Step 6: Final answer
    x = 636,173.21

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.