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Finding the Third Proportional to 286,268.50 and 611,903

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Solution

The third proportional to 286,268.50 and 611,903 is: 1,307,951.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,268.50 : 611,903 = 611,903 : x
  2. Step 2: Convert to fraction form
    286,268.50/611,903 = 611,903/x
  3. Step 3: Cross multiply
    286,268.50x = 611,903 × 611,903
  4. Step 4: Simplify right side
    286,268.50x = 374,425,281,409
  5. Step 5: Solve for x
    x = 374,425,281,409/286,268.50
  6. Step 6: Final answer
    x = 1,307,951.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.