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Finding the Third Proportional to 138,396.09 and 294,014.81

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Solution

The third proportional to 138,396.09 and 294,014.81 is: 624,618.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,396.09 : 294,014.81 = 294,014.81 : x
  2. Step 2: Convert to fraction form
    138,396.09/294,014.81 = 294,014.81/x
  3. Step 3: Cross multiply
    138,396.09x = 294,014.81 × 294,014.81
  4. Step 4: Simplify right side
    138,396.09x = 86,444,709,969.41
  5. Step 5: Solve for x
    x = 86,444,709,969.41/138,396.09
  6. Step 6: Final answer
    x = 624,618.14

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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.