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Finding the Third Proportional to 56,053 and 85,721

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Solution

The third proportional to 56,053 and 85,721 is: 131,091.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,053 : 85,721 = 85,721 : x
  2. Step 2: Convert to fraction form
    56,053/85,721 = 85,721/x
  3. Step 3: Cross multiply
    56,053x = 85,721 × 85,721
  4. Step 4: Simplify right side
    56,053x = 7,348,089,841
  5. Step 5: Solve for x
    x = 7,348,089,841/56,053
  6. Step 6: Final answer
    x = 131,091.82

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.