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Finding the Third Proportional to 218,682.28 and 342,307.69

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Solution

The third proportional to 218,682.28 and 342,307.69 is: 535,820.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,682.28 : 342,307.69 = 342,307.69 : x
  2. Step 2: Convert to fraction form
    218,682.28/342,307.69 = 342,307.69/x
  3. Step 3: Cross multiply
    218,682.28x = 342,307.69 × 342,307.69
  4. Step 4: Simplify right side
    218,682.28x = 117,174,552,921.60
  5. Step 5: Solve for x
    x = 117,174,552,921.60/218,682.28
  6. Step 6: Final answer
    x = 535,820.97

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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.