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Finding the Third Proportional to 334,575 and 685,458

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Solution

The third proportional to 334,575 and 685,458 is: 1,404,326.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,575 : 685,458 = 685,458 : x
  2. Step 2: Convert to fraction form
    334,575/685,458 = 685,458/x
  3. Step 3: Cross multiply
    334,575x = 685,458 × 685,458
  4. Step 4: Simplify right side
    334,575x = 469,852,669,764
  5. Step 5: Solve for x
    x = 469,852,669,764/334,575
  6. Step 6: Final answer
    x = 1,404,326.89

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.