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Finding the Third Proportional to 305,221.50 and 418,252.50

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Solution

The third proportional to 305,221.50 and 418,252.50 is: 573,141.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,221.50 : 418,252.50 = 418,252.50 : x
  2. Step 2: Convert to fraction form
    305,221.50/418,252.50 = 418,252.50/x
  3. Step 3: Cross multiply
    305,221.50x = 418,252.50 × 418,252.50
  4. Step 4: Simplify right side
    305,221.50x = 174,935,153,756.25
  5. Step 5: Solve for x
    x = 174,935,153,756.25/305,221.50
  6. Step 6: Final answer
    x = 573,141.65

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.