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Finding the Third Proportional to 211,909.50 and 320,024.25

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Solution

The third proportional to 211,909.50 and 320,024.25 is: 483,298.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,909.50 : 320,024.25 = 320,024.25 : x
  2. Step 2: Convert to fraction form
    211,909.50/320,024.25 = 320,024.25/x
  3. Step 3: Cross multiply
    211,909.50x = 320,024.25 × 320,024.25
  4. Step 4: Simplify right side
    211,909.50x = 102,415,520,588.06
  5. Step 5: Solve for x
    x = 102,415,520,588.06/211,909.50
  6. Step 6: Final answer
    x = 483,298.39

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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.