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Finding the Third Proportional to 213,403.50 and 319,551.75

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Solution

The third proportional to 213,403.50 and 319,551.75 is: 478,498.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,403.50 : 319,551.75 = 319,551.75 : x
  2. Step 2: Convert to fraction form
    213,403.50/319,551.75 = 319,551.75/x
  3. Step 3: Cross multiply
    213,403.50x = 319,551.75 × 319,551.75
  4. Step 4: Simplify right side
    213,403.50x = 102,113,320,928.06
  5. Step 5: Solve for x
    x = 102,113,320,928.06/213,403.50
  6. Step 6: Final answer
    x = 478,498.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.