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Finding the Third Proportional to 160,313 and 343,025

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Solution

The third proportional to 160,313 and 343,025 is: 733,977.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,313 : 343,025 = 343,025 : x
  2. Step 2: Convert to fraction form
    160,313/343,025 = 343,025/x
  3. Step 3: Cross multiply
    160,313x = 343,025 × 343,025
  4. Step 4: Simplify right side
    160,313x = 117,666,150,625
  5. Step 5: Solve for x
    x = 117,666,150,625/160,313
  6. Step 6: Final answer
    x = 733,977.60

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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.