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Finding the Third Proportional to 257,870 and 553,826

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Solution

The third proportional to 257,870 and 553,826 is: 1,189,449.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,870 : 553,826 = 553,826 : x
  2. Step 2: Convert to fraction form
    257,870/553,826 = 553,826/x
  3. Step 3: Cross multiply
    257,870x = 553,826 × 553,826
  4. Step 4: Simplify right side
    257,870x = 306,723,238,276
  5. Step 5: Solve for x
    x = 306,723,238,276/257,870
  6. Step 6: Final answer
    x = 1,189,449.10

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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.