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Finding the Third Proportional to 402,138 and 837,348

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Solution

The third proportional to 402,138 and 837,348 is: 1,743,559.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,138 : 837,348 = 837,348 : x
  2. Step 2: Convert to fraction form
    402,138/837,348 = 837,348/x
  3. Step 3: Cross multiply
    402,138x = 837,348 × 837,348
  4. Step 4: Simplify right side
    402,138x = 701,151,673,104
  5. Step 5: Solve for x
    x = 701,151,673,104/402,138
  6. Step 6: Final answer
    x = 1,743,559.86

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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.