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Finding the Third Proportional to 432,358.25 and 690,695

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Solution

The third proportional to 432,358.25 and 690,695 is: 1,103,389.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,358.25 : 690,695 = 690,695 : x
  2. Step 2: Convert to fraction form
    432,358.25/690,695 = 690,695/x
  3. Step 3: Cross multiply
    432,358.25x = 690,695 × 690,695
  4. Step 4: Simplify right side
    432,358.25x = 477,059,583,025
  5. Step 5: Solve for x
    x = 477,059,583,025/432,358.25
  6. Step 6: Final answer
    x = 1,103,389.57

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.