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Finding the Third Proportional to 285,912 and 545,904

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Solution

The third proportional to 285,912 and 545,904 is: 1,042,317.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,912 : 545,904 = 545,904 : x
  2. Step 2: Convert to fraction form
    285,912/545,904 = 545,904/x
  3. Step 3: Cross multiply
    285,912x = 545,904 × 545,904
  4. Step 4: Simplify right side
    285,912x = 298,011,177,216
  5. Step 5: Solve for x
    x = 298,011,177,216/285,912
  6. Step 6: Final answer
    x = 1,042,317.84

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.