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Finding the Third Proportional to 1,122,058 and 1,578,255

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Solution

The third proportional to 1,122,058 and 1,578,255 is: 2,219,928.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122,058 : 1,578,255 = 1,578,255 : x
  2. Step 2: Convert to fraction form
    1,122,058/1,578,255 = 1,578,255/x
  3. Step 3: Cross multiply
    1,122,058x = 1,578,255 × 1,578,255
  4. Step 4: Simplify right side
    1,122,058x = 2,490,888,845,025
  5. Step 5: Solve for x
    x = 2,490,888,845,025/1,122,058
  6. Step 6: Final answer
    x = 2,219,928.78

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.