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Finding the Third Proportional to 56,722 and 120,897

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Solution

The third proportional to 56,722 and 120,897 is: 257,679.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,722 : 120,897 = 120,897 : x
  2. Step 2: Convert to fraction form
    56,722/120,897 = 120,897/x
  3. Step 3: Cross multiply
    56,722x = 120,897 × 120,897
  4. Step 4: Simplify right side
    56,722x = 14,616,084,609
  5. Step 5: Solve for x
    x = 14,616,084,609/56,722
  6. Step 6: Final answer
    x = 257,679.29

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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.