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Finding the Third Proportional to 281,043 and 421,570.50

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Solution

The third proportional to 281,043 and 421,570.50 is: 632,364.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,043 : 421,570.50 = 421,570.50 : x
  2. Step 2: Convert to fraction form
    281,043/421,570.50 = 421,570.50/x
  3. Step 3: Cross multiply
    281,043x = 421,570.50 × 421,570.50
  4. Step 4: Simplify right side
    281,043x = 177,721,686,470.25
  5. Step 5: Solve for x
    x = 177,721,686,470.25/281,043
  6. Step 6: Final answer
    x = 632,364.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.