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Finding the Third Proportional to 142,405 and 214,701

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Solution

The third proportional to 142,405 and 214,701 is: 323,700.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,405 : 214,701 = 214,701 : x
  2. Step 2: Convert to fraction form
    142,405/214,701 = 214,701/x
  3. Step 3: Cross multiply
    142,405x = 214,701 × 214,701
  4. Step 4: Simplify right side
    142,405x = 46,096,519,401
  5. Step 5: Solve for x
    x = 46,096,519,401/142,405
  6. Step 6: Final answer
    x = 323,700.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.