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Finding the Third Proportional to 257,111 and 553,733

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Solution

The third proportional to 257,111 and 553,733 is: 1,192,559.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,111 : 553,733 = 553,733 : x
  2. Step 2: Convert to fraction form
    257,111/553,733 = 553,733/x
  3. Step 3: Cross multiply
    257,111x = 553,733 × 553,733
  4. Step 4: Simplify right side
    257,111x = 306,620,235,289
  5. Step 5: Solve for x
    x = 306,620,235,289/257,111
  6. Step 6: Final answer
    x = 1,192,559.77

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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.