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Finding the Third Proportional to 385,168 and 837,920

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Solution

The third proportional to 385,168 and 837,920 is: 1,822,866.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,168 : 837,920 = 837,920 : x
  2. Step 2: Convert to fraction form
    385,168/837,920 = 837,920/x
  3. Step 3: Cross multiply
    385,168x = 837,920 × 837,920
  4. Step 4: Simplify right side
    385,168x = 702,109,926,400
  5. Step 5: Solve for x
    x = 702,109,926,400/385,168
  6. Step 6: Final answer
    x = 1,822,866.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.