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Finding the Third Proportional to 323,387.63 and 680,289.84

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Solution

The third proportional to 323,387.63 and 680,289.84 is: 1,431,082.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,387.63 : 680,289.84 = 680,289.84 : x
  2. Step 2: Convert to fraction form
    323,387.63/680,289.84 = 680,289.84/x
  3. Step 3: Cross multiply
    323,387.63x = 680,289.84 × 680,289.84
  4. Step 4: Simplify right side
    323,387.63x = 462,794,271,509.40
  5. Step 5: Solve for x
    x = 462,794,271,509.40/323,387.63
  6. Step 6: Final answer
    x = 1,431,082.19

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.