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Finding the Third Proportional to 320,084 and 689,788

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Solution

The third proportional to 320,084 and 689,788 is: 1,486,508.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,084 : 689,788 = 689,788 : x
  2. Step 2: Convert to fraction form
    320,084/689,788 = 689,788/x
  3. Step 3: Cross multiply
    320,084x = 689,788 × 689,788
  4. Step 4: Simplify right side
    320,084x = 475,807,484,944
  5. Step 5: Solve for x
    x = 475,807,484,944/320,084
  6. Step 6: Final answer
    x = 1,486,508.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.