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Finding the Third Proportional to 257,046 and 557,832

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Solution

The third proportional to 257,046 and 557,832 is: 1,210,586.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,046 : 557,832 = 557,832 : x
  2. Step 2: Convert to fraction form
    257,046/557,832 = 557,832/x
  3. Step 3: Cross multiply
    257,046x = 557,832 × 557,832
  4. Step 4: Simplify right side
    257,046x = 311,176,540,224
  5. Step 5: Solve for x
    x = 311,176,540,224/257,046
  6. Step 6: Final answer
    x = 1,210,586.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.