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Finding the Third Proportional to 278,326 and 416,754

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Solution

The third proportional to 278,326 and 416,754 is: 624,030.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,326 : 416,754 = 416,754 : x
  2. Step 2: Convert to fraction form
    278,326/416,754 = 416,754/x
  3. Step 3: Cross multiply
    278,326x = 416,754 × 416,754
  4. Step 4: Simplify right side
    278,326x = 173,683,896,516
  5. Step 5: Solve for x
    x = 173,683,896,516/278,326
  6. Step 6: Final answer
    x = 624,030.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.