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Finding the Third Proportional to 255,704 and 556,372

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Solution

The third proportional to 255,704 and 556,372 is: 1,210,578.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,704 : 556,372 = 556,372 : x
  2. Step 2: Convert to fraction form
    255,704/556,372 = 556,372/x
  3. Step 3: Cross multiply
    255,704x = 556,372 × 556,372
  4. Step 4: Simplify right side
    255,704x = 309,549,802,384
  5. Step 5: Solve for x
    x = 309,549,802,384/255,704
  6. Step 6: Final answer
    x = 1,210,578.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.