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Finding the Third Proportional to 402,075 and 837,216

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Solution

The third proportional to 402,075 and 837,216 is: 1,743,283.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,075 : 837,216 = 837,216 : x
  2. Step 2: Convert to fraction form
    402,075/837,216 = 837,216/x
  3. Step 3: Cross multiply
    402,075x = 837,216 × 837,216
  4. Step 4: Simplify right side
    402,075x = 700,930,630,656
  5. Step 5: Solve for x
    x = 700,930,630,656/402,075
  6. Step 6: Final answer
    x = 1,743,283.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.