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Finding the Third Proportional to 354,590.50 and 538,451.75

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Solution

The third proportional to 354,590.50 and 538,451.75 is: 817,648.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,590.50 : 538,451.75 = 538,451.75 : x
  2. Step 2: Convert to fraction form
    354,590.50/538,451.75 = 538,451.75/x
  3. Step 3: Cross multiply
    354,590.50x = 538,451.75 × 538,451.75
  4. Step 4: Simplify right side
    354,590.50x = 289,930,287,078.06
  5. Step 5: Solve for x
    x = 289,930,287,078.06/354,590.50
  6. Step 6: Final answer
    x = 817,648.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.