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Finding the Third Proportional to 320,994 and 683,460

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Solution

The third proportional to 320,994 and 683,460 is: 1,455,222.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,994 : 683,460 = 683,460 : x
  2. Step 2: Convert to fraction form
    320,994/683,460 = 683,460/x
  3. Step 3: Cross multiply
    320,994x = 683,460 × 683,460
  4. Step 4: Simplify right side
    320,994x = 467,117,571,600
  5. Step 5: Solve for x
    x = 467,117,571,600/320,994
  6. Step 6: Final answer
    x = 1,455,222.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.