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Finding the Third Proportional to 211,903 and 320,014.50

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Solution

The third proportional to 211,903 and 320,014.50 is: 483,283.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,903 : 320,014.50 = 320,014.50 : x
  2. Step 2: Convert to fraction form
    211,903/320,014.50 = 320,014.50/x
  3. Step 3: Cross multiply
    211,903x = 320,014.50 × 320,014.50
  4. Step 4: Simplify right side
    211,903x = 102,409,280,210.25
  5. Step 5: Solve for x
    x = 102,409,280,210.25/211,903
  6. Step 6: Final answer
    x = 483,283.77

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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.