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Finding the Third Proportional to 57,386 and 83,796

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Solution

The third proportional to 57,386 and 83,796 is: 122,360.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,386 : 83,796 = 83,796 : x
  2. Step 2: Convert to fraction form
    57,386/83,796 = 83,796/x
  3. Step 3: Cross multiply
    57,386x = 83,796 × 83,796
  4. Step 4: Simplify right side
    57,386x = 7,021,769,616
  5. Step 5: Solve for x
    x = 7,021,769,616/57,386
  6. Step 6: Final answer
    x = 122,360.33

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.