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Finding the Third Proportional to 286,863.50 and 624,392.50

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Solution

The third proportional to 286,863.50 and 624,392.50 is: 1,359,064.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,863.50 : 624,392.50 = 624,392.50 : x
  2. Step 2: Convert to fraction form
    286,863.50/624,392.50 = 624,392.50/x
  3. Step 3: Cross multiply
    286,863.50x = 624,392.50 × 624,392.50
  4. Step 4: Simplify right side
    286,863.50x = 389,865,994,056.25
  5. Step 5: Solve for x
    x = 389,865,994,056.25/286,863.50
  6. Step 6: Final answer
    x = 1,359,064.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.