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Finding the Third Proportional to 385,584 and 853,752

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Solution

The third proportional to 385,584 and 853,752 is: 1,890,359.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,584 : 853,752 = 853,752 : x
  2. Step 2: Convert to fraction form
    385,584/853,752 = 853,752/x
  3. Step 3: Cross multiply
    385,584x = 853,752 × 853,752
  4. Step 4: Simplify right side
    385,584x = 728,892,477,504
  5. Step 5: Solve for x
    x = 728,892,477,504/385,584
  6. Step 6: Final answer
    x = 1,890,359.76

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.