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Finding the Third Proportional to 145,249 and 311,233

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Solution

The third proportional to 145,249 and 311,233 is: 666,896.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,249 : 311,233 = 311,233 : x
  2. Step 2: Convert to fraction form
    145,249/311,233 = 311,233/x
  3. Step 3: Cross multiply
    145,249x = 311,233 × 311,233
  4. Step 4: Simplify right side
    145,249x = 96,865,980,289
  5. Step 5: Solve for x
    x = 96,865,980,289/145,249
  6. Step 6: Final answer
    x = 666,896.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.