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Finding the Third Proportional to 405,138 and 873,074

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Solution

The third proportional to 405,138 and 873,074 is: 1,881,477.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,138 : 873,074 = 873,074 : x
  2. Step 2: Convert to fraction form
    405,138/873,074 = 873,074/x
  3. Step 3: Cross multiply
    405,138x = 873,074 × 873,074
  4. Step 4: Simplify right side
    405,138x = 762,258,209,476
  5. Step 5: Solve for x
    x = 762,258,209,476/405,138
  6. Step 6: Final answer
    x = 1,881,477.94

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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.