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Finding the Third Proportional to 803,675 and 1,215,845

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Solution

The third proportional to 803,675 and 1,215,845 is: 1,839,399.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,675 : 1,215,845 = 1,215,845 : x
  2. Step 2: Convert to fraction form
    803,675/1,215,845 = 1,215,845/x
  3. Step 3: Cross multiply
    803,675x = 1,215,845 × 1,215,845
  4. Step 4: Simplify right side
    803,675x = 1,478,279,064,025
  5. Step 5: Solve for x
    x = 1,478,279,064,025/803,675
  6. Step 6: Final answer
    x = 1,839,399.09

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.