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Finding the Third Proportional to 385,673 and 837,684

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Solution

The third proportional to 385,673 and 837,684 is: 1,819,454.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,673 : 837,684 = 837,684 : x
  2. Step 2: Convert to fraction form
    385,673/837,684 = 837,684/x
  3. Step 3: Cross multiply
    385,673x = 837,684 × 837,684
  4. Step 4: Simplify right side
    385,673x = 701,714,483,856
  5. Step 5: Solve for x
    x = 701,714,483,856/385,673
  6. Step 6: Final answer
    x = 1,819,454.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.