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Finding the Third Proportional to 141,520 and 212,257

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Solution

The third proportional to 141,520 and 212,257 is: 318,351.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,520 : 212,257 = 212,257 : x
  2. Step 2: Convert to fraction form
    141,520/212,257 = 212,257/x
  3. Step 3: Cross multiply
    141,520x = 212,257 × 212,257
  4. Step 4: Simplify right side
    141,520x = 45,053,034,049
  5. Step 5: Solve for x
    x = 45,053,034,049/141,520
  6. Step 6: Final answer
    x = 318,351.00

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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.