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Finding the Third Proportional to 311,709 and 671,097

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Solution

The third proportional to 311,709 and 671,097 is: 1,444,844.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,709 : 671,097 = 671,097 : x
  2. Step 2: Convert to fraction form
    311,709/671,097 = 671,097/x
  3. Step 3: Cross multiply
    311,709x = 671,097 × 671,097
  4. Step 4: Simplify right side
    311,709x = 450,371,183,409
  5. Step 5: Solve for x
    x = 450,371,183,409/311,709
  6. Step 6: Final answer
    x = 1,444,844.98

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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.