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Finding the Third Proportional to 102,021 and 143,413

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Solution

The third proportional to 102,021 and 143,413 is: 201,598.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,021 : 143,413 = 143,413 : x
  2. Step 2: Convert to fraction form
    102,021/143,413 = 143,413/x
  3. Step 3: Cross multiply
    102,021x = 143,413 × 143,413
  4. Step 4: Simplify right side
    102,021x = 20,567,288,569
  5. Step 5: Solve for x
    x = 20,567,288,569/102,021
  6. Step 6: Final answer
    x = 201,598.58

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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.