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Finding the Third Proportional to 320,074 and 689,770

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Solution

The third proportional to 320,074 and 689,770 is: 1,486,477.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,074 : 689,770 = 689,770 : x
  2. Step 2: Convert to fraction form
    320,074/689,770 = 689,770/x
  3. Step 3: Cross multiply
    320,074x = 689,770 × 689,770
  4. Step 4: Simplify right side
    320,074x = 475,782,652,900
  5. Step 5: Solve for x
    x = 475,782,652,900/320,074
  6. Step 6: Final answer
    x = 1,486,477.04

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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.