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Finding the Third Proportional to 53,417 and 86,819

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Solution

The third proportional to 53,417 and 86,819 is: 141,107.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,417 : 86,819 = 86,819 : x
  2. Step 2: Convert to fraction form
    53,417/86,819 = 86,819/x
  3. Step 3: Cross multiply
    53,417x = 86,819 × 86,819
  4. Step 4: Simplify right side
    53,417x = 7,537,538,761
  5. Step 5: Solve for x
    x = 7,537,538,761/53,417
  6. Step 6: Final answer
    x = 141,107.49

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.