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Finding the Third Proportional to 578,080.50 and 821,691

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Solution

The third proportional to 578,080.50 and 821,691 is: 1,167,962.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,080.50 : 821,691 = 821,691 : x
  2. Step 2: Convert to fraction form
    578,080.50/821,691 = 821,691/x
  3. Step 3: Cross multiply
    578,080.50x = 821,691 × 821,691
  4. Step 4: Simplify right side
    578,080.50x = 675,176,099,481
  5. Step 5: Solve for x
    x = 675,176,099,481/578,080.50
  6. Step 6: Final answer
    x = 1,167,962.07

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.