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Finding the Third Proportional to 180,818 and 378,160

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Solution

The third proportional to 180,818 and 378,160 is: 790,878.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,818 : 378,160 = 378,160 : x
  2. Step 2: Convert to fraction form
    180,818/378,160 = 378,160/x
  3. Step 3: Cross multiply
    180,818x = 378,160 × 378,160
  4. Step 4: Simplify right side
    180,818x = 143,004,985,600
  5. Step 5: Solve for x
    x = 143,004,985,600/180,818
  6. Step 6: Final answer
    x = 790,878.04

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.