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Finding the Third Proportional to 39,456 and 53,159.63

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Solution

The third proportional to 39,456 and 53,159.63 is: 71,622.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,456 : 53,159.63 = 53,159.63 : x
  2. Step 2: Convert to fraction form
    39,456/53,159.63 = 53,159.63/x
  3. Step 3: Cross multiply
    39,456x = 53,159.63 × 53,159.63
  4. Step 4: Simplify right side
    39,456x = 2,825,945,730.14
  5. Step 5: Solve for x
    x = 2,825,945,730.14/39,456
  6. Step 6: Final answer
    x = 71,622.71

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.