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Finding the Third Proportional to 160,778 and 339,664

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Solution

The third proportional to 160,778 and 339,664 is: 717,583.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,778 : 339,664 = 339,664 : x
  2. Step 2: Convert to fraction form
    160,778/339,664 = 339,664/x
  3. Step 3: Cross multiply
    160,778x = 339,664 × 339,664
  4. Step 4: Simplify right side
    160,778x = 115,371,632,896
  5. Step 5: Solve for x
    x = 115,371,632,896/160,778
  6. Step 6: Final answer
    x = 717,583.46

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.