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Finding the Third Proportional to 210,825 and 273,590.50

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Solution

The third proportional to 210,825 and 273,590.50 is: 355,042.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,825 : 273,590.50 = 273,590.50 : x
  2. Step 2: Convert to fraction form
    210,825/273,590.50 = 273,590.50/x
  3. Step 3: Cross multiply
    210,825x = 273,590.50 × 273,590.50
  4. Step 4: Simplify right side
    210,825x = 74,851,761,690.25
  5. Step 5: Solve for x
    x = 74,851,761,690.25/210,825
  6. Step 6: Final answer
    x = 355,042.15

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.