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Finding the Third Proportional to 142,563.38 and 199,313.16

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Solution

The third proportional to 142,563.38 and 199,313.16 is: 278,653.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,563.38 : 199,313.16 = 199,313.16 : x
  2. Step 2: Convert to fraction form
    142,563.38/199,313.16 = 199,313.16/x
  3. Step 3: Cross multiply
    142,563.38x = 199,313.16 × 199,313.16
  4. Step 4: Simplify right side
    142,563.38x = 39,725,734,254.34
  5. Step 5: Solve for x
    x = 39,725,734,254.34/142,563.38
  6. Step 6: Final answer
    x = 278,653.16

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.