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Finding the Third Proportional to 434.63 and 949.88

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Solution

The third proportional to 434.63 and 949.88 is: 2,075.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.63 : 949.88 = 949.88 : x
  2. Step 2: Convert to fraction form
    434.63/949.88 = 949.88/x
  3. Step 3: Cross multiply
    434.63x = 949.88 × 949.88
  4. Step 4: Simplify right side
    434.63x = 902,262.52
  5. Step 5: Solve for x
    x = 902,262.52/434.63
  6. Step 6: Final answer
    x = 2,075.96

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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.