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Finding the Third Proportional to 255,074.06 and 381,278.39

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Solution

The third proportional to 255,074.06 and 381,278.39 is: 569,925.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,074.06 : 381,278.39 = 381,278.39 : x
  2. Step 2: Convert to fraction form
    255,074.06/381,278.39 = 381,278.39/x
  3. Step 3: Cross multiply
    255,074.06x = 381,278.39 × 381,278.39
  4. Step 4: Simplify right side
    255,074.06x = 145,373,211,157.59
  5. Step 5: Solve for x
    x = 145,373,211,157.59/255,074.06
  6. Step 6: Final answer
    x = 569,925.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.