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Finding the Third Proportional to 94,864.50 and 142,919.44

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Solution

The third proportional to 94,864.50 and 142,919.44 is: 215,317.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,864.50 : 142,919.44 = 142,919.44 : x
  2. Step 2: Convert to fraction form
    94,864.50/142,919.44 = 142,919.44/x
  3. Step 3: Cross multiply
    94,864.50x = 142,919.44 × 142,919.44
  4. Step 4: Simplify right side
    94,864.50x = 20,425,965,615.32
  5. Step 5: Solve for x
    x = 20,425,965,615.32/94,864.50
  6. Step 6: Final answer
    x = 215,317.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.