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Finding the Third Proportional to 259,181.50 and 423,218.25

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Solution

The third proportional to 259,181.50 and 423,218.25 is: 691,074.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,181.50 : 423,218.25 = 423,218.25 : x
  2. Step 2: Convert to fraction form
    259,181.50/423,218.25 = 423,218.25/x
  3. Step 3: Cross multiply
    259,181.50x = 423,218.25 × 423,218.25
  4. Step 4: Simplify right side
    259,181.50x = 179,113,687,133.06
  5. Step 5: Solve for x
    x = 179,113,687,133.06/259,181.50
  6. Step 6: Final answer
    x = 691,074.35

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.