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Finding the Third Proportional to 665,169 and 1,507,917

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Solution

The third proportional to 665,169 and 1,507,917 is: 3,418,399.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,169 : 1,507,917 = 1,507,917 : x
  2. Step 2: Convert to fraction form
    665,169/1,507,917 = 1,507,917/x
  3. Step 3: Cross multiply
    665,169x = 1,507,917 × 1,507,917
  4. Step 4: Simplify right side
    665,169x = 2,273,813,678,889
  5. Step 5: Solve for x
    x = 2,273,813,678,889/665,169
  6. Step 6: Final answer
    x = 3,418,399.95

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.