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Finding the Third Proportional to 160,840 and 343,832

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Solution

The third proportional to 160,840 and 343,832 is: 735,018.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,840 : 343,832 = 343,832 : x
  2. Step 2: Convert to fraction form
    160,840/343,832 = 343,832/x
  3. Step 3: Cross multiply
    160,840x = 343,832 × 343,832
  4. Step 4: Simplify right side
    160,840x = 118,220,444,224
  5. Step 5: Solve for x
    x = 118,220,444,224/160,840
  6. Step 6: Final answer
    x = 735,018.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.