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Finding the Third Proportional to 211,953 and 320,089.50

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Solution

The third proportional to 211,953 and 320,089.50 is: 483,396.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,953 : 320,089.50 = 320,089.50 : x
  2. Step 2: Convert to fraction form
    211,953/320,089.50 = 320,089.50/x
  3. Step 3: Cross multiply
    211,953x = 320,089.50 × 320,089.50
  4. Step 4: Simplify right side
    211,953x = 102,457,288,010.25
  5. Step 5: Solve for x
    x = 102,457,288,010.25/211,953
  6. Step 6: Final answer
    x = 483,396.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.