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Finding the Third Proportional to 380,742.75 and 571,187.25

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Solution

The third proportional to 380,742.75 and 571,187.25 is: 856,890.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,742.75 : 571,187.25 = 571,187.25 : x
  2. Step 2: Convert to fraction form
    380,742.75/571,187.25 = 571,187.25/x
  3. Step 3: Cross multiply
    380,742.75x = 571,187.25 × 571,187.25
  4. Step 4: Simplify right side
    380,742.75x = 326,254,874,562.56
  5. Step 5: Solve for x
    x = 326,254,874,562.56/380,742.75
  6. Step 6: Final answer
    x = 856,890.58

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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.