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Finding the Third Proportional to 320,220 and 696,816

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Solution

The third proportional to 320,220 and 696,816 is: 1,516,309.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,220 : 696,816 = 696,816 : x
  2. Step 2: Convert to fraction form
    320,220/696,816 = 696,816/x
  3. Step 3: Cross multiply
    320,220x = 696,816 × 696,816
  4. Step 4: Simplify right side
    320,220x = 485,552,537,856
  5. Step 5: Solve for x
    x = 485,552,537,856/320,220
  6. Step 6: Final answer
    x = 1,516,309.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.