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Finding the Third Proportional to 257,010 and 376,744

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Solution

The third proportional to 257,010 and 376,744 is: 552,258.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,010 : 376,744 = 376,744 : x
  2. Step 2: Convert to fraction form
    257,010/376,744 = 376,744/x
  3. Step 3: Cross multiply
    257,010x = 376,744 × 376,744
  4. Step 4: Simplify right side
    257,010x = 141,936,041,536
  5. Step 5: Solve for x
    x = 141,936,041,536/257,010
  6. Step 6: Final answer
    x = 552,258.83

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.