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Finding the Third Proportional to 193,139 and 288,588

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Solution

The third proportional to 193,139 and 288,588 is: 431,207.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,139 : 288,588 = 288,588 : x
  2. Step 2: Convert to fraction form
    193,139/288,588 = 288,588/x
  3. Step 3: Cross multiply
    193,139x = 288,588 × 288,588
  4. Step 4: Simplify right side
    193,139x = 83,283,033,744
  5. Step 5: Solve for x
    x = 83,283,033,744/193,139
  6. Step 6: Final answer
    x = 431,207.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.