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Finding the Third Proportional to 869,139 and 1,882,989

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Solution

The third proportional to 869,139 and 1,882,989 is: 4,079,494.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,139 : 1,882,989 = 1,882,989 : x
  2. Step 2: Convert to fraction form
    869,139/1,882,989 = 1,882,989/x
  3. Step 3: Cross multiply
    869,139x = 1,882,989 × 1,882,989
  4. Step 4: Simplify right side
    869,139x = 3,545,647,574,121
  5. Step 5: Solve for x
    x = 3,545,647,574,121/869,139
  6. Step 6: Final answer
    x = 4,079,494.27

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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.