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Finding the Third Proportional to 343,994 and 531,327

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Solution

The third proportional to 343,994 and 531,327 is: 820,678.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,994 : 531,327 = 531,327 : x
  2. Step 2: Convert to fraction form
    343,994/531,327 = 531,327/x
  3. Step 3: Cross multiply
    343,994x = 531,327 × 531,327
  4. Step 4: Simplify right side
    343,994x = 282,308,380,929
  5. Step 5: Solve for x
    x = 282,308,380,929/343,994
  6. Step 6: Final answer
    x = 820,678.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.