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Finding the Third Proportional to 257,134 and 553,736

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Solution

The third proportional to 257,134 and 553,736 is: 1,192,466.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,134 : 553,736 = 553,736 : x
  2. Step 2: Convert to fraction form
    257,134/553,736 = 553,736/x
  3. Step 3: Cross multiply
    257,134x = 553,736 × 553,736
  4. Step 4: Simplify right side
    257,134x = 306,623,557,696
  5. Step 5: Solve for x
    x = 306,623,557,696/257,134
  6. Step 6: Final answer
    x = 1,192,466.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.