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Finding the Third Proportional to 53,418 and 86,821

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Solution

The third proportional to 53,418 and 86,821 is: 141,111.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,418 : 86,821 = 86,821 : x
  2. Step 2: Convert to fraction form
    53,418/86,821 = 86,821/x
  3. Step 3: Cross multiply
    53,418x = 86,821 × 86,821
  4. Step 4: Simplify right side
    53,418x = 7,537,886,041
  5. Step 5: Solve for x
    x = 7,537,886,041/53,418
  6. Step 6: Final answer
    x = 141,111.35

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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.