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Finding the Third Proportional to 156,943 and 343,043

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Solution

The third proportional to 156,943 and 343,043 is: 749,816.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,943 : 343,043 = 343,043 : x
  2. Step 2: Convert to fraction form
    156,943/343,043 = 343,043/x
  3. Step 3: Cross multiply
    156,943x = 343,043 × 343,043
  4. Step 4: Simplify right side
    156,943x = 117,678,499,849
  5. Step 5: Solve for x
    x = 117,678,499,849/156,943
  6. Step 6: Final answer
    x = 749,816.81

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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.