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Finding the Third Proportional to 578,998 and 1,275,791

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Solution

The third proportional to 578,998 and 1,275,791 is: 2,811,136.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,998 : 1,275,791 = 1,275,791 : x
  2. Step 2: Convert to fraction form
    578,998/1,275,791 = 1,275,791/x
  3. Step 3: Cross multiply
    578,998x = 1,275,791 × 1,275,791
  4. Step 4: Simplify right side
    578,998x = 1,627,642,675,681
  5. Step 5: Solve for x
    x = 1,627,642,675,681/578,998
  6. Step 6: Final answer
    x = 2,811,136.96

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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.