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Finding the Third Proportional to 257,020 and 556,942

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Solution

The third proportional to 257,020 and 556,942 is: 1,206,849.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,020 : 556,942 = 556,942 : x
  2. Step 2: Convert to fraction form
    257,020/556,942 = 556,942/x
  3. Step 3: Cross multiply
    257,020x = 556,942 × 556,942
  4. Step 4: Simplify right side
    257,020x = 310,184,391,364
  5. Step 5: Solve for x
    x = 310,184,391,364/257,020
  6. Step 6: Final answer
    x = 1,206,849.24

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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.