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Finding the Third Proportional to 254,319.75 and 393,170.63

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Solution

The third proportional to 254,319.75 and 393,170.63 is: 607,829.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,319.75 : 393,170.63 = 393,170.63 : x
  2. Step 2: Convert to fraction form
    254,319.75/393,170.63 = 393,170.63/x
  3. Step 3: Cross multiply
    254,319.75x = 393,170.63 × 393,170.63
  4. Step 4: Simplify right side
    254,319.75x = 154,583,140,362.89
  5. Step 5: Solve for x
    x = 154,583,140,362.89/254,319.75
  6. Step 6: Final answer
    x = 607,829.87

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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.