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Finding the Third Proportional to 864,438 and 1,268,631

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Solution

The third proportional to 864,438 and 1,268,631 is: 1,861,816.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,438 : 1,268,631 = 1,268,631 : x
  2. Step 2: Convert to fraction form
    864,438/1,268,631 = 1,268,631/x
  3. Step 3: Cross multiply
    864,438x = 1,268,631 × 1,268,631
  4. Step 4: Simplify right side
    864,438x = 1,609,424,614,161
  5. Step 5: Solve for x
    x = 1,609,424,614,161/864,438
  6. Step 6: Final answer
    x = 1,861,816.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.