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Finding the Third Proportional to 160,080 and 257,856

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Solution

The third proportional to 160,080 and 257,856 is: 415,353.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,080 : 257,856 = 257,856 : x
  2. Step 2: Convert to fraction form
    160,080/257,856 = 257,856/x
  3. Step 3: Cross multiply
    160,080x = 257,856 × 257,856
  4. Step 4: Simplify right side
    160,080x = 66,489,716,736
  5. Step 5: Solve for x
    x = 66,489,716,736/160,080
  6. Step 6: Final answer
    x = 415,353.05

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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.