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Finding the Third Proportional to 300,786 and 668,812.50

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Solution

The third proportional to 300,786 and 668,812.50 is: 1,487,137.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,786 : 668,812.50 = 668,812.50 : x
  2. Step 2: Convert to fraction form
    300,786/668,812.50 = 668,812.50/x
  3. Step 3: Cross multiply
    300,786x = 668,812.50 × 668,812.50
  4. Step 4: Simplify right side
    300,786x = 447,310,160,156.25
  5. Step 5: Solve for x
    x = 447,310,160,156.25/300,786
  6. Step 6: Final answer
    x = 1,487,137.57

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.