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Finding the Third Proportional to 320,664 and 689,564

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Solution

The third proportional to 320,664 and 689,564 is: 1,482,855.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,664 : 689,564 = 689,564 : x
  2. Step 2: Convert to fraction form
    320,664/689,564 = 689,564/x
  3. Step 3: Cross multiply
    320,664x = 689,564 × 689,564
  4. Step 4: Simplify right side
    320,664x = 475,498,510,096
  5. Step 5: Solve for x
    x = 475,498,510,096/320,664
  6. Step 6: Final answer
    x = 1,482,855.92

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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.