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Finding the Third Proportional to 258,648 and 558,072

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Solution

The third proportional to 258,648 and 558,072 is: 1,204,124.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,648 : 558,072 = 558,072 : x
  2. Step 2: Convert to fraction form
    258,648/558,072 = 558,072/x
  3. Step 3: Cross multiply
    258,648x = 558,072 × 558,072
  4. Step 4: Simplify right side
    258,648x = 311,444,357,184
  5. Step 5: Solve for x
    x = 311,444,357,184/258,648
  6. Step 6: Final answer
    x = 1,204,124.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.