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Finding the Third Proportional to 156,744 and 342,890

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Solution

The third proportional to 156,744 and 342,890 is: 750,099.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,744 : 342,890 = 342,890 : x
  2. Step 2: Convert to fraction form
    156,744/342,890 = 342,890/x
  3. Step 3: Cross multiply
    156,744x = 342,890 × 342,890
  4. Step 4: Simplify right side
    156,744x = 117,573,552,100
  5. Step 5: Solve for x
    x = 117,573,552,100/156,744
  6. Step 6: Final answer
    x = 750,099.22

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.