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Finding the Third Proportional to 618,326 and 983,590

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Solution

The third proportional to 618,326 and 983,590 is: 1,564,626.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,326 : 983,590 = 983,590 : x
  2. Step 2: Convert to fraction form
    618,326/983,590 = 983,590/x
  3. Step 3: Cross multiply
    618,326x = 983,590 × 983,590
  4. Step 4: Simplify right side
    618,326x = 967,449,288,100
  5. Step 5: Solve for x
    x = 967,449,288,100/618,326
  6. Step 6: Final answer
    x = 1,564,626.57

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.