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Finding the Third Proportional to 141,290 and 211,937

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Solution

The third proportional to 141,290 and 211,937 is: 317,908.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,290 : 211,937 = 211,937 : x
  2. Step 2: Convert to fraction form
    141,290/211,937 = 211,937/x
  3. Step 3: Cross multiply
    141,290x = 211,937 × 211,937
  4. Step 4: Simplify right side
    141,290x = 44,917,291,969
  5. Step 5: Solve for x
    x = 44,917,291,969/141,290
  6. Step 6: Final answer
    x = 317,908.50

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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.