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Finding the Third Proportional to 657,818 and 1,417,149

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Solution

The third proportional to 657,818 and 1,417,149 is: 3,052,989.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,818 : 1,417,149 = 1,417,149 : x
  2. Step 2: Convert to fraction form
    657,818/1,417,149 = 1,417,149/x
  3. Step 3: Cross multiply
    657,818x = 1,417,149 × 1,417,149
  4. Step 4: Simplify right side
    657,818x = 2,008,311,288,201
  5. Step 5: Solve for x
    x = 2,008,311,288,201/657,818
  6. Step 6: Final answer
    x = 3,052,989.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.