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Finding the Third Proportional to 64,578.63 and 139,052.63

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Solution

The third proportional to 64,578.63 and 139,052.63 is: 299,412.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,578.63 : 139,052.63 = 139,052.63 : x
  2. Step 2: Convert to fraction form
    64,578.63/139,052.63 = 139,052.63/x
  3. Step 3: Cross multiply
    64,578.63x = 139,052.63 × 139,052.63
  4. Step 4: Simplify right side
    64,578.63x = 19,335,632,519.39
  5. Step 5: Solve for x
    x = 19,335,632,519.39/64,578.63
  6. Step 6: Final answer
    x = 299,412.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.