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Finding the Third Proportional to 145,357 and 311,834

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Solution

The third proportional to 145,357 and 311,834 is: 668,976.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,357 : 311,834 = 311,834 : x
  2. Step 2: Convert to fraction form
    145,357/311,834 = 311,834/x
  3. Step 3: Cross multiply
    145,357x = 311,834 × 311,834
  4. Step 4: Simplify right side
    145,357x = 97,240,443,556
  5. Step 5: Solve for x
    x = 97,240,443,556/145,357
  6. Step 6: Final answer
    x = 668,976.68

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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.