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Finding the Third Proportional to 410.06 and 566.44

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Solution

The third proportional to 410.06 and 566.44 is: 782.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.06 : 566.44 = 566.44 : x
  2. Step 2: Convert to fraction form
    410.06/566.44 = 566.44/x
  3. Step 3: Cross multiply
    410.06x = 566.44 × 566.44
  4. Step 4: Simplify right side
    410.06x = 320,851.44
  5. Step 5: Solve for x
    x = 320,851.44/410.06
  6. Step 6: Final answer
    x = 782.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.