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Finding the Third Proportional to 578,997.75 and 1,275,789

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Solution

The third proportional to 578,997.75 and 1,275,789 is: 2,811,129.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,997.75 : 1,275,789 = 1,275,789 : x
  2. Step 2: Convert to fraction form
    578,997.75/1,275,789 = 1,275,789/x
  3. Step 3: Cross multiply
    578,997.75x = 1,275,789 × 1,275,789
  4. Step 4: Simplify right side
    578,997.75x = 1,627,637,572,521
  5. Step 5: Solve for x
    x = 1,627,637,572,521/578,997.75
  6. Step 6: Final answer
    x = 2,811,129.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.