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Finding the Third Proportional to 265.71 and 407.04

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Solution

The third proportional to 265.71 and 407.04 is: 623.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.71 : 407.04 = 407.04 : x
  2. Step 2: Convert to fraction form
    265.71/407.04 = 407.04/x
  3. Step 3: Cross multiply
    265.71x = 407.04 × 407.04
  4. Step 4: Simplify right side
    265.71x = 165,680.80
  5. Step 5: Solve for x
    x = 165,680.80/265.71
  6. Step 6: Final answer
    x = 623.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.