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Finding the Third Proportional to 321,572 and 685,860

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Solution

The third proportional to 321,572 and 685,860 is: 1,462,826.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,572 : 685,860 = 685,860 : x
  2. Step 2: Convert to fraction form
    321,572/685,860 = 685,860/x
  3. Step 3: Cross multiply
    321,572x = 685,860 × 685,860
  4. Step 4: Simplify right side
    321,572x = 470,403,939,600
  5. Step 5: Solve for x
    x = 470,403,939,600/321,572
  6. Step 6: Final answer
    x = 1,462,826.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.