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Finding the Third Proportional to 142,077 and 303,853.50

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Solution

The third proportional to 142,077 and 303,853.50 is: 649,837.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,077 : 303,853.50 = 303,853.50 : x
  2. Step 2: Convert to fraction form
    142,077/303,853.50 = 303,853.50/x
  3. Step 3: Cross multiply
    142,077x = 303,853.50 × 303,853.50
  4. Step 4: Simplify right side
    142,077x = 92,326,949,462.25
  5. Step 5: Solve for x
    x = 92,326,949,462.25/142,077
  6. Step 6: Final answer
    x = 649,837.41

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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.