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Finding the Third Proportional to 145,024 and 311,471

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Solution

The third proportional to 145,024 and 311,471 is: 668,952.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,024 : 311,471 = 311,471 : x
  2. Step 2: Convert to fraction form
    145,024/311,471 = 311,471/x
  3. Step 3: Cross multiply
    145,024x = 311,471 × 311,471
  4. Step 4: Simplify right side
    145,024x = 97,014,183,841
  5. Step 5: Solve for x
    x = 97,014,183,841/145,024
  6. Step 6: Final answer
    x = 668,952.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.