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Finding the Third Proportional to 218,502 and 487,851.75

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Solution

The third proportional to 218,502 and 487,851.75 is: 1,089,231.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,502 : 487,851.75 = 487,851.75 : x
  2. Step 2: Convert to fraction form
    218,502/487,851.75 = 487,851.75/x
  3. Step 3: Cross multiply
    218,502x = 487,851.75 × 487,851.75
  4. Step 4: Simplify right side
    218,502x = 237,999,329,978.06
  5. Step 5: Solve for x
    x = 237,999,329,978.06/218,502
  6. Step 6: Final answer
    x = 1,089,231.81

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.