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Finding the Third Proportional to 102,340 and 143,911

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Solution

The third proportional to 102,340 and 143,911 is: 202,368.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,340 : 143,911 = 143,911 : x
  2. Step 2: Convert to fraction form
    102,340/143,911 = 143,911/x
  3. Step 3: Cross multiply
    102,340x = 143,911 × 143,911
  4. Step 4: Simplify right side
    102,340x = 20,710,375,921
  5. Step 5: Solve for x
    x = 20,710,375,921/102,340
  6. Step 6: Final answer
    x = 202,368.34

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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.