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Finding the Third Proportional to 257,250 and 553,956

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Solution

The third proportional to 257,250 and 553,956 is: 1,192,875.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,250 : 553,956 = 553,956 : x
  2. Step 2: Convert to fraction form
    257,250/553,956 = 553,956/x
  3. Step 3: Cross multiply
    257,250x = 553,956 × 553,956
  4. Step 4: Simplify right side
    257,250x = 306,867,249,936
  5. Step 5: Solve for x
    x = 306,867,249,936/257,250
  6. Step 6: Final answer
    x = 1,192,875.61

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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.