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Finding the Third Proportional to 193,248.50 and 288,984

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Solution

The third proportional to 193,248.50 and 288,984 is: 432,146.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,248.50 : 288,984 = 288,984 : x
  2. Step 2: Convert to fraction form
    193,248.50/288,984 = 288,984/x
  3. Step 3: Cross multiply
    193,248.50x = 288,984 × 288,984
  4. Step 4: Simplify right side
    193,248.50x = 83,511,752,256
  5. Step 5: Solve for x
    x = 83,511,752,256/193,248.50
  6. Step 6: Final answer
    x = 432,146.96

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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.