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Finding the Third Proportional to 53,586 and 114,277.50

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Solution

The third proportional to 53,586 and 114,277.50 is: 243,708.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,586 : 114,277.50 = 114,277.50 : x
  2. Step 2: Convert to fraction form
    53,586/114,277.50 = 114,277.50/x
  3. Step 3: Cross multiply
    53,586x = 114,277.50 × 114,277.50
  4. Step 4: Simplify right side
    53,586x = 13,059,347,006.25
  5. Step 5: Solve for x
    x = 13,059,347,006.25/53,586
  6. Step 6: Final answer
    x = 243,708.19

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.