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Finding the Third Proportional to 145,328 and 311,368

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Solution

The third proportional to 145,328 and 311,368 is: 667,111.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,328 : 311,368 = 311,368 : x
  2. Step 2: Convert to fraction form
    145,328/311,368 = 311,368/x
  3. Step 3: Cross multiply
    145,328x = 311,368 × 311,368
  4. Step 4: Simplify right side
    145,328x = 96,950,031,424
  5. Step 5: Solve for x
    x = 96,950,031,424/145,328
  6. Step 6: Final answer
    x = 667,111.85

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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.