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Finding the Third Proportional to 770,286 and 1,181,421

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Solution

The third proportional to 770,286 and 1,181,421 is: 1,811,996.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,286 : 1,181,421 = 1,181,421 : x
  2. Step 2: Convert to fraction form
    770,286/1,181,421 = 1,181,421/x
  3. Step 3: Cross multiply
    770,286x = 1,181,421 × 1,181,421
  4. Step 4: Simplify right side
    770,286x = 1,395,755,579,241
  5. Step 5: Solve for x
    x = 1,395,755,579,241/770,286
  6. Step 6: Final answer
    x = 1,811,996.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.