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Finding the Third Proportional to 211,459.50 and 323,887.50

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Solution

The third proportional to 211,459.50 and 323,887.50 is: 496,090.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,459.50 : 323,887.50 = 323,887.50 : x
  2. Step 2: Convert to fraction form
    211,459.50/323,887.50 = 323,887.50/x
  3. Step 3: Cross multiply
    211,459.50x = 323,887.50 × 323,887.50
  4. Step 4: Simplify right side
    211,459.50x = 104,903,112,656.25
  5. Step 5: Solve for x
    x = 104,903,112,656.25/211,459.50
  6. Step 6: Final answer
    x = 496,090.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.