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Finding the Third Proportional to 281,639.25 and 424,852.88

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Solution

The third proportional to 281,639.25 and 424,852.88 is: 640,890.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,639.25 : 424,852.88 = 424,852.88 : x
  2. Step 2: Convert to fraction form
    281,639.25/424,852.88 = 424,852.88/x
  3. Step 3: Cross multiply
    281,639.25x = 424,852.88 × 424,852.88
  4. Step 4: Simplify right side
    281,639.25x = 180,499,965,395.77
  5. Step 5: Solve for x
    x = 180,499,965,395.77/281,639.25
  6. Step 6: Final answer
    x = 640,890.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.