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Finding the Third Proportional to 553,296 and 878,328

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Solution

The third proportional to 553,296 and 878,328 is: 1,394,299.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,296 : 878,328 = 878,328 : x
  2. Step 2: Convert to fraction form
    553,296/878,328 = 878,328/x
  3. Step 3: Cross multiply
    553,296x = 878,328 × 878,328
  4. Step 4: Simplify right side
    553,296x = 771,460,075,584
  5. Step 5: Solve for x
    x = 771,460,075,584/553,296
  6. Step 6: Final answer
    x = 1,394,299.03

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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.