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Finding the Third Proportional to 321,588 and 651,924

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Solution

The third proportional to 321,588 and 651,924 is: 1,321,581.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,588 : 651,924 = 651,924 : x
  2. Step 2: Convert to fraction form
    321,588/651,924 = 651,924/x
  3. Step 3: Cross multiply
    321,588x = 651,924 × 651,924
  4. Step 4: Simplify right side
    321,588x = 425,004,901,776
  5. Step 5: Solve for x
    x = 425,004,901,776/321,588
  6. Step 6: Final answer
    x = 1,321,581.97

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.