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Finding the Third Proportional to 665,172 and 1,459,107

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Solution

The third proportional to 665,172 and 1,459,107 is: 3,200,665.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,172 : 1,459,107 = 1,459,107 : x
  2. Step 2: Convert to fraction form
    665,172/1,459,107 = 1,459,107/x
  3. Step 3: Cross multiply
    665,172x = 1,459,107 × 1,459,107
  4. Step 4: Simplify right side
    665,172x = 2,128,993,237,449
  5. Step 5: Solve for x
    x = 2,128,993,237,449/665,172
  6. Step 6: Final answer
    x = 3,200,665.75

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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.