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Finding the Third Proportional to 273,078 and 559,278

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Solution

The third proportional to 273,078 and 559,278 is: 1,145,430.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,078 : 559,278 = 559,278 : x
  2. Step 2: Convert to fraction form
    273,078/559,278 = 559,278/x
  3. Step 3: Cross multiply
    273,078x = 559,278 × 559,278
  4. Step 4: Simplify right side
    273,078x = 312,791,881,284
  5. Step 5: Solve for x
    x = 312,791,881,284/273,078
  6. Step 6: Final answer
    x = 1,145,430.54

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.