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Finding the Third Proportional to 65,847.94 and 139,899.66

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Solution

The third proportional to 65,847.94 and 139,899.66 is: 297,228.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,847.94 : 139,899.66 = 139,899.66 : x
  2. Step 2: Convert to fraction form
    65,847.94/139,899.66 = 139,899.66/x
  3. Step 3: Cross multiply
    65,847.94x = 139,899.66 × 139,899.66
  4. Step 4: Simplify right side
    65,847.94x = 19,571,913,818.87
  5. Step 5: Solve for x
    x = 19,571,913,818.87/65,847.94
  6. Step 6: Final answer
    x = 297,228.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.