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Finding the Third Proportional to 262,980 and 558,724

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Solution

The third proportional to 262,980 and 558,724 is: 1,187,057.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,980 : 558,724 = 558,724 : x
  2. Step 2: Convert to fraction form
    262,980/558,724 = 558,724/x
  3. Step 3: Cross multiply
    262,980x = 558,724 × 558,724
  4. Step 4: Simplify right side
    262,980x = 312,172,508,176
  5. Step 5: Solve for x
    x = 312,172,508,176/262,980
  6. Step 6: Final answer
    x = 1,187,057.98

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.