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Finding the Third Proportional to 253,580 and 543,148

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Solution

The third proportional to 253,580 and 543,148 is: 1,163,379.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,580 : 543,148 = 543,148 : x
  2. Step 2: Convert to fraction form
    253,580/543,148 = 543,148/x
  3. Step 3: Cross multiply
    253,580x = 543,148 × 543,148
  4. Step 4: Simplify right side
    253,580x = 295,009,749,904
  5. Step 5: Solve for x
    x = 295,009,749,904/253,580
  6. Step 6: Final answer
    x = 1,163,379.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.