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Finding the Third Proportional to 405,236 and 879,160

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Solution

The third proportional to 405,236 and 879,160 is: 1,907,338.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,236 : 879,160 = 879,160 : x
  2. Step 2: Convert to fraction form
    405,236/879,160 = 879,160/x
  3. Step 3: Cross multiply
    405,236x = 879,160 × 879,160
  4. Step 4: Simplify right side
    405,236x = 772,922,305,600
  5. Step 5: Solve for x
    x = 772,922,305,600/405,236
  6. Step 6: Final answer
    x = 1,907,338.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.