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Finding the Third Proportional to 142,033.50 and 310,789.41

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Solution

The third proportional to 142,033.50 and 310,789.41 is: 680,051.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,033.50 : 310,789.41 = 310,789.41 : x
  2. Step 2: Convert to fraction form
    142,033.50/310,789.41 = 310,789.41/x
  3. Step 3: Cross multiply
    142,033.50x = 310,789.41 × 310,789.41
  4. Step 4: Simplify right side
    142,033.50x = 96,590,055,037.23
  5. Step 5: Solve for x
    x = 96,590,055,037.23/142,033.50
  6. Step 6: Final answer
    x = 680,051.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.