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Finding the Third Proportional to 211,590 and 305,716.50

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Solution

The third proportional to 211,590 and 305,716.50 is: 441,715.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,590 : 305,716.50 = 305,716.50 : x
  2. Step 2: Convert to fraction form
    211,590/305,716.50 = 305,716.50/x
  3. Step 3: Cross multiply
    211,590x = 305,716.50 × 305,716.50
  4. Step 4: Simplify right side
    211,590x = 93,462,578,372.25
  5. Step 5: Solve for x
    x = 93,462,578,372.25/211,590
  6. Step 6: Final answer
    x = 441,715.48

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.