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Finding the Third Proportional to 280.76 and 437.06

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Solution

The third proportional to 280.76 and 437.06 is: 680.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.76 : 437.06 = 437.06 : x
  2. Step 2: Convert to fraction form
    280.76/437.06 = 437.06/x
  3. Step 3: Cross multiply
    280.76x = 437.06 × 437.06
  4. Step 4: Simplify right side
    280.76x = 191,023.63
  5. Step 5: Solve for x
    x = 191,023.63/280.76
  6. Step 6: Final answer
    x = 680.39

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.