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Finding the Third Proportional to 156,989 and 343,321

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Solution

The third proportional to 156,989 and 343,321 is: 750,812.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,989 : 343,321 = 343,321 : x
  2. Step 2: Convert to fraction form
    156,989/343,321 = 343,321/x
  3. Step 3: Cross multiply
    156,989x = 343,321 × 343,321
  4. Step 4: Simplify right side
    156,989x = 117,869,309,041
  5. Step 5: Solve for x
    x = 117,869,309,041/156,989
  6. Step 6: Final answer
    x = 750,812.53

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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.