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Finding the Third Proportional to 57,045 and 83,721

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Solution

The third proportional to 57,045 and 83,721 is: 122,871.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,045 : 83,721 = 83,721 : x
  2. Step 2: Convert to fraction form
    57,045/83,721 = 83,721/x
  3. Step 3: Cross multiply
    57,045x = 83,721 × 83,721
  4. Step 4: Simplify right side
    57,045x = 7,009,205,841
  5. Step 5: Solve for x
    x = 7,009,205,841/57,045
  6. Step 6: Final answer
    x = 122,871.52

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.