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Finding the Third Proportional to 691,174 and 1,515,209

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Solution

The third proportional to 691,174 and 1,515,209 is: 3,321,679.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,174 : 1,515,209 = 1,515,209 : x
  2. Step 2: Convert to fraction form
    691,174/1,515,209 = 1,515,209/x
  3. Step 3: Cross multiply
    691,174x = 1,515,209 × 1,515,209
  4. Step 4: Simplify right side
    691,174x = 2,295,858,313,681
  5. Step 5: Solve for x
    x = 2,295,858,313,681/691,174
  6. Step 6: Final answer
    x = 3,321,679.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.