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Finding the Third Proportional to 321,699 and 706,848

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Solution

The third proportional to 321,699 and 706,848 is: 1,553,110.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,699 : 706,848 = 706,848 : x
  2. Step 2: Convert to fraction form
    321,699/706,848 = 706,848/x
  3. Step 3: Cross multiply
    321,699x = 706,848 × 706,848
  4. Step 4: Simplify right side
    321,699x = 499,634,095,104
  5. Step 5: Solve for x
    x = 499,634,095,104/321,699
  6. Step 6: Final answer
    x = 1,553,110.50

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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.