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Finding the Third Proportional to 102,021 and 155,290

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Solution

The third proportional to 102,021 and 155,290 is: 236,372.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,021 : 155,290 = 155,290 : x
  2. Step 2: Convert to fraction form
    102,021/155,290 = 155,290/x
  3. Step 3: Cross multiply
    102,021x = 155,290 × 155,290
  4. Step 4: Simplify right side
    102,021x = 24,114,984,100
  5. Step 5: Solve for x
    x = 24,114,984,100/102,021
  6. Step 6: Final answer
    x = 236,372.75

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.