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Finding the Third Proportional to 258,886.50 and 556,198.50

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Solution

The third proportional to 258,886.50 and 556,198.50 is: 1,194,951.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,886.50 : 556,198.50 = 556,198.50 : x
  2. Step 2: Convert to fraction form
    258,886.50/556,198.50 = 556,198.50/x
  3. Step 3: Cross multiply
    258,886.50x = 556,198.50 × 556,198.50
  4. Step 4: Simplify right side
    258,886.50x = 309,356,771,402.25
  5. Step 5: Solve for x
    x = 309,356,771,402.25/258,886.50
  6. Step 6: Final answer
    x = 1,194,951.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.