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Finding the Third Proportional to 869,576 and 1,143,489

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Solution

The third proportional to 869,576 and 1,143,489 is: 1,503,683.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,576 : 1,143,489 = 1,143,489 : x
  2. Step 2: Convert to fraction form
    869,576/1,143,489 = 1,143,489/x
  3. Step 3: Cross multiply
    869,576x = 1,143,489 × 1,143,489
  4. Step 4: Simplify right side
    869,576x = 1,307,567,093,121
  5. Step 5: Solve for x
    x = 1,307,567,093,121/869,576
  6. Step 6: Final answer
    x = 1,503,683.51

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.