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Finding the Third Proportional to 161,616 and 343,968

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Solution

The third proportional to 161,616 and 343,968 is: 732,068.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,616 : 343,968 = 343,968 : x
  2. Step 2: Convert to fraction form
    161,616/343,968 = 343,968/x
  3. Step 3: Cross multiply
    161,616x = 343,968 × 343,968
  4. Step 4: Simplify right side
    161,616x = 118,313,985,024
  5. Step 5: Solve for x
    x = 118,313,985,024/161,616
  6. Step 6: Final answer
    x = 732,068.51

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.