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Finding the Third Proportional to 65,243.81 and 139,033.13

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Solution

The third proportional to 65,243.81 and 139,033.13 is: 296,276.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,243.81 : 139,033.13 = 139,033.13 : x
  2. Step 2: Convert to fraction form
    65,243.81/139,033.13 = 139,033.13/x
  3. Step 3: Cross multiply
    65,243.81x = 139,033.13 × 139,033.13
  4. Step 4: Simplify right side
    65,243.81x = 19,330,209,847.27
  5. Step 5: Solve for x
    x = 19,330,209,847.27/65,243.81
  6. Step 6: Final answer
    x = 296,276.52

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.