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Finding the Third Proportional to 156,968 and 343,080

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Solution

The third proportional to 156,968 and 343,080 is: 749,859.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,968 : 343,080 = 343,080 : x
  2. Step 2: Convert to fraction form
    156,968/343,080 = 343,080/x
  3. Step 3: Cross multiply
    156,968x = 343,080 × 343,080
  4. Step 4: Simplify right side
    156,968x = 117,703,886,400
  5. Step 5: Solve for x
    x = 117,703,886,400/156,968
  6. Step 6: Final answer
    x = 749,859.12

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Why These Related Problems?

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