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Finding the Third Proportional to 142,529.56 and 309,867.19

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Solution

The third proportional to 142,529.56 and 309,867.19 is: 673,668.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,529.56 : 309,867.19 = 309,867.19 : x
  2. Step 2: Convert to fraction form
    142,529.56/309,867.19 = 309,867.19/x
  3. Step 3: Cross multiply
    142,529.56x = 309,867.19 × 309,867.19
  4. Step 4: Simplify right side
    142,529.56x = 96,017,673,889.16
  5. Step 5: Solve for x
    x = 96,017,673,889.16/142,529.56
  6. Step 6: Final answer
    x = 673,668.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.