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Finding the Third Proportional to 380,740 and 571,191

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Solution

The third proportional to 380,740 and 571,191 is: 856,908.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,740 : 571,191 = 571,191 : x
  2. Step 2: Convert to fraction form
    380,740/571,191 = 571,191/x
  3. Step 3: Cross multiply
    380,740x = 571,191 × 571,191
  4. Step 4: Simplify right side
    380,740x = 326,259,158,481
  5. Step 5: Solve for x
    x = 326,259,158,481/380,740
  6. Step 6: Final answer
    x = 856,908.02

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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.