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Finding the Third Proportional to 320,998 and 683,468

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Solution

The third proportional to 320,998 and 683,468 is: 1,455,238.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,998 : 683,468 = 683,468 : x
  2. Step 2: Convert to fraction form
    320,998/683,468 = 683,468/x
  3. Step 3: Cross multiply
    320,998x = 683,468 × 683,468
  4. Step 4: Simplify right side
    320,998x = 467,128,507,024
  5. Step 5: Solve for x
    x = 467,128,507,024/320,998
  6. Step 6: Final answer
    x = 1,455,238.06

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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.