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Finding the Third Proportional to 66,991.63 and 139,496.06

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Solution

The third proportional to 66,991.63 and 139,496.06 is: 290,471.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,991.63 : 139,496.06 = 139,496.06 : x
  2. Step 2: Convert to fraction form
    66,991.63/139,496.06 = 139,496.06/x
  3. Step 3: Cross multiply
    66,991.63x = 139,496.06 × 139,496.06
  4. Step 4: Simplify right side
    66,991.63x = 19,459,151,453.00
  5. Step 5: Solve for x
    x = 19,459,151,453.00/66,991.63
  6. Step 6: Final answer
    x = 290,471.41

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.