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Finding the Third Proportional to 288,780.19 and 674,717.34

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Solution

The third proportional to 288,780.19 and 674,717.34 is: 1,576,436.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,780.19 : 674,717.34 = 674,717.34 : x
  2. Step 2: Convert to fraction form
    288,780.19/674,717.34 = 674,717.34/x
  3. Step 3: Cross multiply
    288,780.19x = 674,717.34 × 674,717.34
  4. Step 4: Simplify right side
    288,780.19x = 455,243,493,957.06
  5. Step 5: Solve for x
    x = 455,243,493,957.06/288,780.19
  6. Step 6: Final answer
    x = 1,576,436.04

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.