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Finding the Third Proportional to 682,578 and 918,888

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Solution

The third proportional to 682,578 and 918,888 is: 1,237,009.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,578 : 918,888 = 918,888 : x
  2. Step 2: Convert to fraction form
    682,578/918,888 = 918,888/x
  3. Step 3: Cross multiply
    682,578x = 918,888 × 918,888
  4. Step 4: Simplify right side
    682,578x = 844,355,156,544
  5. Step 5: Solve for x
    x = 844,355,156,544/682,578
  6. Step 6: Final answer
    x = 1,237,009.04

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.