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Finding the Third Proportional to 142,043.06 and 315,615.94

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Solution

The third proportional to 142,043.06 and 315,615.94 is: 701,290.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,043.06 : 315,615.94 = 315,615.94 : x
  2. Step 2: Convert to fraction form
    142,043.06/315,615.94 = 315,615.94/x
  3. Step 3: Cross multiply
    142,043.06x = 315,615.94 × 315,615.94
  4. Step 4: Simplify right side
    142,043.06x = 99,613,420,004.00
  5. Step 5: Solve for x
    x = 99,613,420,004.00/142,043.06
  6. Step 6: Final answer
    x = 701,290.29

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.