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Finding the Third Proportional to 1,034,100 and 1,489,407

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Solution

The third proportional to 1,034,100 and 1,489,407 is: 2,145,182.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034,100 : 1,489,407 = 1,489,407 : x
  2. Step 2: Convert to fraction form
    1,034,100/1,489,407 = 1,489,407/x
  3. Step 3: Cross multiply
    1,034,100x = 1,489,407 × 1,489,407
  4. Step 4: Simplify right side
    1,034,100x = 2,218,333,211,649
  5. Step 5: Solve for x
    x = 2,218,333,211,649/1,034,100
  6. Step 6: Final answer
    x = 2,145,182.49

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.