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Finding the Third Proportional to 136,991.63 and 214,953.56

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Solution

The third proportional to 136,991.63 and 214,953.56 is: 337,283.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,991.63 : 214,953.56 = 214,953.56 : x
  2. Step 2: Convert to fraction form
    136,991.63/214,953.56 = 214,953.56/x
  3. Step 3: Cross multiply
    136,991.63x = 214,953.56 × 214,953.56
  4. Step 4: Simplify right side
    136,991.63x = 46,205,034,031.44
  5. Step 5: Solve for x
    x = 46,205,034,031.44/136,991.63
  6. Step 6: Final answer
    x = 337,283.64

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.