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Finding the Third Proportional to 102,012.75 and 143,401.75

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Solution

The third proportional to 102,012.75 and 143,401.75 is: 201,583.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,012.75 : 143,401.75 = 143,401.75 : x
  2. Step 2: Convert to fraction form
    102,012.75/143,401.75 = 143,401.75/x
  3. Step 3: Cross multiply
    102,012.75x = 143,401.75 × 143,401.75
  4. Step 4: Simplify right side
    102,012.75x = 20,564,061,903.06
  5. Step 5: Solve for x
    x = 20,564,061,903.06/102,012.75
  6. Step 6: Final answer
    x = 201,583.25

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.