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Finding the Third Proportional to 320,640 and 689,514

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Solution

The third proportional to 320,640 and 689,514 is: 1,482,751.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,640 : 689,514 = 689,514 : x
  2. Step 2: Convert to fraction form
    320,640/689,514 = 689,514/x
  3. Step 3: Cross multiply
    320,640x = 689,514 × 689,514
  4. Step 4: Simplify right side
    320,640x = 475,429,556,196
  5. Step 5: Solve for x
    x = 475,429,556,196/320,640
  6. Step 6: Final answer
    x = 1,482,751.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.