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Finding the Third Proportional to 611,458 and 1,266,115

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Solution

The third proportional to 611,458 and 1,266,115 is: 2,621,679.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,458 : 1,266,115 = 1,266,115 : x
  2. Step 2: Convert to fraction form
    611,458/1,266,115 = 1,266,115/x
  3. Step 3: Cross multiply
    611,458x = 1,266,115 × 1,266,115
  4. Step 4: Simplify right side
    611,458x = 1,603,047,193,225
  5. Step 5: Solve for x
    x = 1,603,047,193,225/611,458
  6. Step 6: Final answer
    x = 2,621,679.97

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.