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Finding the Third Proportional to 380,560.78 and 587,243.67

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Solution

The third proportional to 380,560.78 and 587,243.67 is: 906,176.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,560.78 : 587,243.67 = 587,243.67 : x
  2. Step 2: Convert to fraction form
    380,560.78/587,243.67 = 587,243.67/x
  3. Step 3: Cross multiply
    380,560.78x = 587,243.67 × 587,243.67
  4. Step 4: Simplify right side
    380,560.78x = 344,855,130,157.23
  5. Step 5: Solve for x
    x = 344,855,130,157.23/380,560.78
  6. Step 6: Final answer
    x = 906,176.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.