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Finding the Third Proportional to 320.63 and 706.64

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Solution

The third proportional to 320.63 and 706.64 is: 1,557.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.63 : 706.64 = 706.64 : x
  2. Step 2: Convert to fraction form
    320.63/706.64 = 706.64/x
  3. Step 3: Cross multiply
    320.63x = 706.64 × 706.64
  4. Step 4: Simplify right side
    320.63x = 499,340.97
  5. Step 5: Solve for x
    x = 499,340.97/320.63
  6. Step 6: Final answer
    x = 1,557.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.