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Finding the Third Proportional to 320.06 and 478.05

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Solution

The third proportional to 320.06 and 478.05 is: 714.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.06 : 478.05 = 478.05 : x
  2. Step 2: Convert to fraction form
    320.06/478.05 = 478.05/x
  3. Step 3: Cross multiply
    320.06x = 478.05 × 478.05
  4. Step 4: Simplify right side
    320.06x = 228,536.28
  5. Step 5: Solve for x
    x = 228,536.28/320.06
  6. Step 6: Final answer
    x = 714.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.