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Finding the Third Proportional to 345,722 and 542,336

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Solution

The third proportional to 345,722 and 542,336 is: 850,765.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,722 : 542,336 = 542,336 : x
  2. Step 2: Convert to fraction form
    345,722/542,336 = 542,336/x
  3. Step 3: Cross multiply
    345,722x = 542,336 × 542,336
  4. Step 4: Simplify right side
    345,722x = 294,128,336,896
  5. Step 5: Solve for x
    x = 294,128,336,896/345,722
  6. Step 6: Final answer
    x = 850,765.46

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.