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Finding the Third Proportional to 765,120.50 and 1,675,676

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Solution

The third proportional to 765,120.50 and 1,675,676 is: 3,669,866.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,120.50 : 1,675,676 = 1,675,676 : x
  2. Step 2: Convert to fraction form
    765,120.50/1,675,676 = 1,675,676/x
  3. Step 3: Cross multiply
    765,120.50x = 1,675,676 × 1,675,676
  4. Step 4: Simplify right side
    765,120.50x = 2,807,890,056,976
  5. Step 5: Solve for x
    x = 2,807,890,056,976/765,120.50
  6. Step 6: Final answer
    x = 3,669,866.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.