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Finding the Third Proportional to 320,150 and 689,956

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Solution

The third proportional to 320,150 and 689,956 is: 1,486,925.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,150 : 689,956 = 689,956 : x
  2. Step 2: Convert to fraction form
    320,150/689,956 = 689,956/x
  3. Step 3: Cross multiply
    320,150x = 689,956 × 689,956
  4. Step 4: Simplify right side
    320,150x = 476,039,281,936
  5. Step 5: Solve for x
    x = 476,039,281,936/320,150
  6. Step 6: Final answer
    x = 1,486,925.76

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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.