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Finding the Third Proportional to 81,212.63 and 174,423.38

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Solution

The third proportional to 81,212.63 and 174,423.38 is: 374,615.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,212.63 : 174,423.38 = 174,423.38 : x
  2. Step 2: Convert to fraction form
    81,212.63/174,423.38 = 174,423.38/x
  3. Step 3: Cross multiply
    81,212.63x = 174,423.38 × 174,423.38
  4. Step 4: Simplify right side
    81,212.63x = 30,423,513,746.39
  5. Step 5: Solve for x
    x = 30,423,513,746.39/81,212.63
  6. Step 6: Final answer
    x = 374,615.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.