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Finding the Third Proportional to 407.06 and 521.06

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Solution

The third proportional to 407.06 and 521.06 is: 666.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.06 : 521.06 = 521.06 : x
  2. Step 2: Convert to fraction form
    407.06/521.06 = 521.06/x
  3. Step 3: Cross multiply
    407.06x = 521.06 × 521.06
  4. Step 4: Simplify right side
    407.06x = 271,506.13
  5. Step 5: Solve for x
    x = 271,506.13/407.06
  6. Step 6: Final answer
    x = 666.99

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.