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Finding the Third Proportional to 56,707 and 83,420

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Solution

The third proportional to 56,707 and 83,420 is: 122,716.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,707 : 83,420 = 83,420 : x
  2. Step 2: Convert to fraction form
    56,707/83,420 = 83,420/x
  3. Step 3: Cross multiply
    56,707x = 83,420 × 83,420
  4. Step 4: Simplify right side
    56,707x = 6,958,896,400
  5. Step 5: Solve for x
    x = 6,958,896,400/56,707
  6. Step 6: Final answer
    x = 122,716.71

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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.