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Finding the Third Proportional to 141,812 and 212,712

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Solution

The third proportional to 141,812 and 212,712 is: 319,059.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,812 : 212,712 = 212,712 : x
  2. Step 2: Convert to fraction form
    141,812/212,712 = 212,712/x
  3. Step 3: Cross multiply
    141,812x = 212,712 × 212,712
  4. Step 4: Simplify right side
    141,812x = 45,246,394,944
  5. Step 5: Solve for x
    x = 45,246,394,944/141,812
  6. Step 6: Final answer
    x = 319,059.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.