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Finding the Third Proportional to 141,280 and 211,921

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Solution

The third proportional to 141,280 and 211,921 is: 317,883.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,280 : 211,921 = 211,921 : x
  2. Step 2: Convert to fraction form
    141,280/211,921 = 211,921/x
  3. Step 3: Cross multiply
    141,280x = 211,921 × 211,921
  4. Step 4: Simplify right side
    141,280x = 44,910,510,241
  5. Step 5: Solve for x
    x = 44,910,510,241/141,280
  6. Step 6: Final answer
    x = 317,883.00

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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.