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Finding the Third Proportional to 257,042 and 556,981

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Solution

The third proportional to 257,042 and 556,981 is: 1,206,914.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,042 : 556,981 = 556,981 : x
  2. Step 2: Convert to fraction form
    257,042/556,981 = 556,981/x
  3. Step 3: Cross multiply
    257,042x = 556,981 × 556,981
  4. Step 4: Simplify right side
    257,042x = 310,227,834,361
  5. Step 5: Solve for x
    x = 310,227,834,361/257,042
  6. Step 6: Final answer
    x = 1,206,914.96

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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.