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Finding the Third Proportional to 39,403 and 57,807

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Solution

The third proportional to 39,403 and 57,807 is: 84,806.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,403 : 57,807 = 57,807 : x
  2. Step 2: Convert to fraction form
    39,403/57,807 = 57,807/x
  3. Step 3: Cross multiply
    39,403x = 57,807 × 57,807
  4. Step 4: Simplify right side
    39,403x = 3,341,649,249
  5. Step 5: Solve for x
    x = 3,341,649,249/39,403
  6. Step 6: Final answer
    x = 84,806.98

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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.