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Finding the Third Proportional to 64,399 and 84,886

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Solution

The third proportional to 64,399 and 84,886 is: 111,890.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,399 : 84,886 = 84,886 : x
  2. Step 2: Convert to fraction form
    64,399/84,886 = 84,886/x
  3. Step 3: Cross multiply
    64,399x = 84,886 × 84,886
  4. Step 4: Simplify right side
    64,399x = 7,205,632,996
  5. Step 5: Solve for x
    x = 7,205,632,996/64,399
  6. Step 6: Final answer
    x = 111,890.45

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.