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Finding the Third Proportional to 156,978 and 340,038

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Solution

The third proportional to 156,978 and 340,038 is: 736,573.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,978 : 340,038 = 340,038 : x
  2. Step 2: Convert to fraction form
    156,978/340,038 = 340,038/x
  3. Step 3: Cross multiply
    156,978x = 340,038 × 340,038
  4. Step 4: Simplify right side
    156,978x = 115,625,841,444
  5. Step 5: Solve for x
    x = 115,625,841,444/156,978
  6. Step 6: Final answer
    x = 736,573.54

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.