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Finding the Third Proportional to 273,054 and 427,416

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Solution

The third proportional to 273,054 and 427,416 is: 669,041.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,054 : 427,416 = 427,416 : x
  2. Step 2: Convert to fraction form
    273,054/427,416 = 427,416/x
  3. Step 3: Cross multiply
    273,054x = 427,416 × 427,416
  4. Step 4: Simplify right side
    273,054x = 182,684,437,056
  5. Step 5: Solve for x
    x = 182,684,437,056/273,054
  6. Step 6: Final answer
    x = 669,041.42

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.