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Finding the Third Proportional to 281,904.75 and 437,179.50

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Solution

The third proportional to 281,904.75 and 437,179.50 is: 677,980.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,904.75 : 437,179.50 = 437,179.50 : x
  2. Step 2: Convert to fraction form
    281,904.75/437,179.50 = 437,179.50/x
  3. Step 3: Cross multiply
    281,904.75x = 437,179.50 × 437,179.50
  4. Step 4: Simplify right side
    281,904.75x = 191,125,915,220.25
  5. Step 5: Solve for x
    x = 191,125,915,220.25/281,904.75
  6. Step 6: Final answer
    x = 677,980.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.