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Finding the Third Proportional to 255,074.63 and 556,774.88

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Solution

The third proportional to 255,074.63 and 556,774.88 is: 1,215,323.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,074.63 : 556,774.88 = 556,774.88 : x
  2. Step 2: Convert to fraction form
    255,074.63/556,774.88 = 556,774.88/x
  3. Step 3: Cross multiply
    255,074.63x = 556,774.88 × 556,774.88
  4. Step 4: Simplify right side
    255,074.63x = 309,998,261,431.27
  5. Step 5: Solve for x
    x = 309,998,261,431.27/255,074.63
  6. Step 6: Final answer
    x = 1,215,323.80

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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.