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Finding the Third Proportional to 432.63 and 946.27

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Solution

The third proportional to 432.63 and 946.27 is: 2,069.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.63 : 946.27 = 946.27 : x
  2. Step 2: Convert to fraction form
    432.63/946.27 = 946.27/x
  3. Step 3: Cross multiply
    432.63x = 946.27 × 946.27
  4. Step 4: Simplify right side
    432.63x = 895,418.63
  5. Step 5: Solve for x
    x = 895,418.63/432.63
  6. Step 6: Final answer
    x = 2,069.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.