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Finding the Third Proportional to 691,173 and 1,515,207

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Solution

The third proportional to 691,173 and 1,515,207 is: 3,321,675.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,173 : 1,515,207 = 1,515,207 : x
  2. Step 2: Convert to fraction form
    691,173/1,515,207 = 1,515,207/x
  3. Step 3: Cross multiply
    691,173x = 1,515,207 × 1,515,207
  4. Step 4: Simplify right side
    691,173x = 2,295,852,252,849
  5. Step 5: Solve for x
    x = 2,295,852,252,849/691,173
  6. Step 6: Final answer
    x = 3,321,675.26

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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.