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Finding the Third Proportional to 879,948 and 1,689,912

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Solution

The third proportional to 879,948 and 1,689,912 is: 3,245,421.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    879,948 : 1,689,912 = 1,689,912 : x
  2. Step 2: Convert to fraction form
    879,948/1,689,912 = 1,689,912/x
  3. Step 3: Cross multiply
    879,948x = 1,689,912 × 1,689,912
  4. Step 4: Simplify right side
    879,948x = 2,855,802,567,744
  5. Step 5: Solve for x
    x = 2,855,802,567,744/879,948
  6. Step 6: Final answer
    x = 3,245,421.97

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.