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Finding the Third Proportional to 95,253 and 142,410

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Solution

The third proportional to 95,253 and 142,410 is: 212,913.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,253 : 142,410 = 142,410 : x
  2. Step 2: Convert to fraction form
    95,253/142,410 = 142,410/x
  3. Step 3: Cross multiply
    95,253x = 142,410 × 142,410
  4. Step 4: Simplify right side
    95,253x = 20,280,608,100
  5. Step 5: Solve for x
    x = 20,280,608,100/95,253
  6. Step 6: Final answer
    x = 212,913.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.