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Finding the Third Proportional to 102,019 and 143,411

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Solution

The third proportional to 102,019 and 143,411 is: 201,596.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,019 : 143,411 = 143,411 : x
  2. Step 2: Convert to fraction form
    102,019/143,411 = 143,411/x
  3. Step 3: Cross multiply
    102,019x = 143,411 × 143,411
  4. Step 4: Simplify right side
    102,019x = 20,566,714,921
  5. Step 5: Solve for x
    x = 20,566,714,921/102,019
  6. Step 6: Final answer
    x = 201,596.91

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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.