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Finding the Third Proportional to 311,699 and 671,065

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Solution

The third proportional to 311,699 and 671,065 is: 1,444,753.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,699 : 671,065 = 671,065 : x
  2. Step 2: Convert to fraction form
    311,699/671,065 = 671,065/x
  3. Step 3: Cross multiply
    311,699x = 671,065 × 671,065
  4. Step 4: Simplify right side
    311,699x = 450,328,234,225
  5. Step 5: Solve for x
    x = 450,328,234,225/311,699
  6. Step 6: Final answer
    x = 1,444,753.54

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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.