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Finding the Third Proportional to 198,888.75 and 429,289.88

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Solution

The third proportional to 198,888.75 and 429,289.88 is: 926,597.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,888.75 : 429,289.88 = 429,289.88 : x
  2. Step 2: Convert to fraction form
    198,888.75/429,289.88 = 429,289.88/x
  3. Step 3: Cross multiply
    198,888.75x = 429,289.88 × 429,289.88
  4. Step 4: Simplify right side
    198,888.75x = 184,289,796,777.52
  5. Step 5: Solve for x
    x = 184,289,796,777.52/198,888.75
  6. Step 6: Final answer
    x = 926,597.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.