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Finding the Third Proportional to 321,780 and 706,575

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Solution

The third proportional to 321,780 and 706,575 is: 1,551,520.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,780 : 706,575 = 706,575 : x
  2. Step 2: Convert to fraction form
    321,780/706,575 = 706,575/x
  3. Step 3: Cross multiply
    321,780x = 706,575 × 706,575
  4. Step 4: Simplify right side
    321,780x = 499,248,230,625
  5. Step 5: Solve for x
    x = 499,248,230,625/321,780
  6. Step 6: Final answer
    x = 1,551,520.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.