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Finding the Third Proportional to 671,406 and 1,373,835

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Solution

The third proportional to 671,406 and 1,373,835 is: 2,811,149.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,406 : 1,373,835 = 1,373,835 : x
  2. Step 2: Convert to fraction form
    671,406/1,373,835 = 1,373,835/x
  3. Step 3: Cross multiply
    671,406x = 1,373,835 × 1,373,835
  4. Step 4: Simplify right side
    671,406x = 1,887,422,607,225
  5. Step 5: Solve for x
    x = 1,887,422,607,225/671,406
  6. Step 6: Final answer
    x = 2,811,149.45

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.