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Finding the Third Proportional to 688,138 and 1,486,993

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Solution

The third proportional to 688,138 and 1,486,993 is: 3,213,233.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,138 : 1,486,993 = 1,486,993 : x
  2. Step 2: Convert to fraction form
    688,138/1,486,993 = 1,486,993/x
  3. Step 3: Cross multiply
    688,138x = 1,486,993 × 1,486,993
  4. Step 4: Simplify right side
    688,138x = 2,211,148,182,049
  5. Step 5: Solve for x
    x = 2,211,148,182,049/688,138
  6. Step 6: Final answer
    x = 3,213,233.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.