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Finding the Third Proportional to 368,140 and 802,920

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Solution

The third proportional to 368,140 and 802,920 is: 1,751,183.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,140 : 802,920 = 802,920 : x
  2. Step 2: Convert to fraction form
    368,140/802,920 = 802,920/x
  3. Step 3: Cross multiply
    368,140x = 802,920 × 802,920
  4. Step 4: Simplify right side
    368,140x = 644,680,526,400
  5. Step 5: Solve for x
    x = 644,680,526,400/368,140
  6. Step 6: Final answer
    x = 1,751,183.05

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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.