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Finding the Third Proportional to 160,721 and 258,091

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Solution

The third proportional to 160,721 and 258,091 is: 414,450.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,721 : 258,091 = 258,091 : x
  2. Step 2: Convert to fraction form
    160,721/258,091 = 258,091/x
  3. Step 3: Cross multiply
    160,721x = 258,091 × 258,091
  4. Step 4: Simplify right side
    160,721x = 66,610,964,281
  5. Step 5: Solve for x
    x = 66,610,964,281/160,721
  6. Step 6: Final answer
    x = 414,450.91

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.