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Finding the Third Proportional to 344,772 and 731,286

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Solution

The third proportional to 344,772 and 731,286 is: 1,551,109.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,772 : 731,286 = 731,286 : x
  2. Step 2: Convert to fraction form
    344,772/731,286 = 731,286/x
  3. Step 3: Cross multiply
    344,772x = 731,286 × 731,286
  4. Step 4: Simplify right side
    344,772x = 534,779,213,796
  5. Step 5: Solve for x
    x = 534,779,213,796/344,772
  6. Step 6: Final answer
    x = 1,551,109.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.