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Finding the Third Proportional to 92,456 and 142,844

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Solution

The third proportional to 92,456 and 142,844 is: 220,693.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,456 : 142,844 = 142,844 : x
  2. Step 2: Convert to fraction form
    92,456/142,844 = 142,844/x
  3. Step 3: Cross multiply
    92,456x = 142,844 × 142,844
  4. Step 4: Simplify right side
    92,456x = 20,404,408,336
  5. Step 5: Solve for x
    x = 20,404,408,336/92,456
  6. Step 6: Final answer
    x = 220,693.18

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.