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Finding the Third Proportional to 172 and 264.63

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Solution

The third proportional to 172 and 264.63 is: 407.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    172 : 264.63 = 264.63 : x
  2. Step 2: Convert to fraction form
    172/264.63 = 264.63/x
  3. Step 3: Cross multiply
    172x = 264.63 × 264.63
  4. Step 4: Simplify right side
    172x = 70,026.39
  5. Step 5: Solve for x
    x = 70,026.39/172
  6. Step 6: Final answer
    x = 407.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.