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Finding the Third Proportional to 545,080.50 and 763,821

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Solution

The third proportional to 545,080.50 and 763,821 is: 1,070,341.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,080.50 : 763,821 = 763,821 : x
  2. Step 2: Convert to fraction form
    545,080.50/763,821 = 763,821/x
  3. Step 3: Cross multiply
    545,080.50x = 763,821 × 763,821
  4. Step 4: Simplify right side
    545,080.50x = 583,422,520,041
  5. Step 5: Solve for x
    x = 583,422,520,041/545,080.50
  6. Step 6: Final answer
    x = 1,070,341.94

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.