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Finding the Third Proportional to 257,236 and 557,240

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Solution

The third proportional to 257,236 and 557,240 is: 1,207,126.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,236 : 557,240 = 557,240 : x
  2. Step 2: Convert to fraction form
    257,236/557,240 = 557,240/x
  3. Step 3: Cross multiply
    257,236x = 557,240 × 557,240
  4. Step 4: Simplify right side
    257,236x = 310,516,417,600
  5. Step 5: Solve for x
    x = 310,516,417,600/257,236
  6. Step 6: Final answer
    x = 1,207,126.60

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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.