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Finding the Third Proportional to 254,350.69 and 393,660.56

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Solution

The third proportional to 254,350.69 and 393,660.56 is: 609,271.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,350.69 : 393,660.56 = 393,660.56 : x
  2. Step 2: Convert to fraction form
    254,350.69/393,660.56 = 393,660.56/x
  3. Step 3: Cross multiply
    254,350.69x = 393,660.56 × 393,660.56
  4. Step 4: Simplify right side
    254,350.69x = 154,968,638,467.82
  5. Step 5: Solve for x
    x = 154,968,638,467.82/254,350.69
  6. Step 6: Final answer
    x = 609,271.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.