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Finding the Third Proportional to 578,990 and 1,275,773

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Solution

The third proportional to 578,990 and 1,275,773 is: 2,811,096.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,990 : 1,275,773 = 1,275,773 : x
  2. Step 2: Convert to fraction form
    578,990/1,275,773 = 1,275,773/x
  3. Step 3: Cross multiply
    578,990x = 1,275,773 × 1,275,773
  4. Step 4: Simplify right side
    578,990x = 1,627,596,747,529
  5. Step 5: Solve for x
    x = 1,627,596,747,529/578,990
  6. Step 6: Final answer
    x = 2,811,096.47

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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.