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Finding the Third Proportional to 259,465 and 389,197.50

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Solution

The third proportional to 259,465 and 389,197.50 is: 583,796.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,465 : 389,197.50 = 389,197.50 : x
  2. Step 2: Convert to fraction form
    259,465/389,197.50 = 389,197.50/x
  3. Step 3: Cross multiply
    259,465x = 389,197.50 × 389,197.50
  4. Step 4: Simplify right side
    259,465x = 151,474,694,006.25
  5. Step 5: Solve for x
    x = 151,474,694,006.25/259,465
  6. Step 6: Final answer
    x = 583,796.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.