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Finding the Third Proportional to 142,041.09 and 303,782.91

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Solution

The third proportional to 142,041.09 and 303,782.91 is: 649,699.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,041.09 : 303,782.91 = 303,782.91 : x
  2. Step 2: Convert to fraction form
    142,041.09/303,782.91 = 303,782.91/x
  3. Step 3: Cross multiply
    142,041.09x = 303,782.91 × 303,782.91
  4. Step 4: Simplify right side
    142,041.09x = 92,284,054,129.70
  5. Step 5: Solve for x
    x = 92,284,054,129.70/142,041.09
  6. Step 6: Final answer
    x = 649,699.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.