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Finding the Third Proportional to 402,084 and 837,240

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Solution

The third proportional to 402,084 and 837,240 is: 1,743,344.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,084 : 837,240 = 837,240 : x
  2. Step 2: Convert to fraction form
    402,084/837,240 = 837,240/x
  3. Step 3: Cross multiply
    402,084x = 837,240 × 837,240
  4. Step 4: Simplify right side
    402,084x = 700,970,817,600
  5. Step 5: Solve for x
    x = 700,970,817,600/402,084
  6. Step 6: Final answer
    x = 1,743,344.22

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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.