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Finding the Third Proportional to 162,278 and 354,081

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Solution

The third proportional to 162,278 and 354,081 is: 772,583.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,278 : 354,081 = 354,081 : x
  2. Step 2: Convert to fraction form
    162,278/354,081 = 354,081/x
  3. Step 3: Cross multiply
    162,278x = 354,081 × 354,081
  4. Step 4: Simplify right side
    162,278x = 125,373,354,561
  5. Step 5: Solve for x
    x = 125,373,354,561/162,278
  6. Step 6: Final answer
    x = 772,583.80

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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.