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Finding the Third Proportional to 578,988 and 1,275,772

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Solution

The third proportional to 578,988 and 1,275,772 is: 2,811,101.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,988 : 1,275,772 = 1,275,772 : x
  2. Step 2: Convert to fraction form
    578,988/1,275,772 = 1,275,772/x
  3. Step 3: Cross multiply
    578,988x = 1,275,772 × 1,275,772
  4. Step 4: Simplify right side
    578,988x = 1,627,594,195,984
  5. Step 5: Solve for x
    x = 1,627,594,195,984/578,988
  6. Step 6: Final answer
    x = 2,811,101.78

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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.