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Finding the Third Proportional to 345,938 and 759,980

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Solution

The third proportional to 345,938 and 759,980 is: 1,669,575.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,938 : 759,980 = 759,980 : x
  2. Step 2: Convert to fraction form
    345,938/759,980 = 759,980/x
  3. Step 3: Cross multiply
    345,938x = 759,980 × 759,980
  4. Step 4: Simplify right side
    345,938x = 577,569,600,400
  5. Step 5: Solve for x
    x = 577,569,600,400/345,938
  6. Step 6: Final answer
    x = 1,669,575.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.