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Finding the Third Proportional to 64,846.41 and 139,379.91

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Solution

The third proportional to 64,846.41 and 139,379.91 is: 299,581.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,846.41 : 139,379.91 = 139,379.91 : x
  2. Step 2: Convert to fraction form
    64,846.41/139,379.91 = 139,379.91/x
  3. Step 3: Cross multiply
    64,846.41x = 139,379.91 × 139,379.91
  4. Step 4: Simplify right side
    64,846.41x = 19,426,758,266.26
  5. Step 5: Solve for x
    x = 19,426,758,266.26/64,846.41
  6. Step 6: Final answer
    x = 299,581.11

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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.