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Finding the Third Proportional to 156,805 and 343,633

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Solution

The third proportional to 156,805 and 343,633 is: 753,060.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,805 : 343,633 = 343,633 : x
  2. Step 2: Convert to fraction form
    156,805/343,633 = 343,633/x
  3. Step 3: Cross multiply
    156,805x = 343,633 × 343,633
  4. Step 4: Simplify right side
    156,805x = 118,083,638,689
  5. Step 5: Solve for x
    x = 118,083,638,689/156,805
  6. Step 6: Final answer
    x = 753,060.42

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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.