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Finding the Third Proportional to 218,007.56 and 318,384.56

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Solution

The third proportional to 218,007.56 and 318,384.56 is: 464,978.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,007.56 : 318,384.56 = 318,384.56 : x
  2. Step 2: Convert to fraction form
    218,007.56/318,384.56 = 318,384.56/x
  3. Step 3: Cross multiply
    218,007.56x = 318,384.56 × 318,384.56
  4. Step 4: Simplify right side
    218,007.56x = 101,368,729,638.32
  5. Step 5: Solve for x
    x = 101,368,729,638.32/218,007.56
  6. Step 6: Final answer
    x = 464,978.04

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.