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Finding the Third Proportional to 314.72 and 505.55

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Solution

The third proportional to 314.72 and 505.55 is: 812.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.72 : 505.55 = 505.55 : x
  2. Step 2: Convert to fraction form
    314.72/505.55 = 505.55/x
  3. Step 3: Cross multiply
    314.72x = 505.55 × 505.55
  4. Step 4: Simplify right side
    314.72x = 255,577.64
  5. Step 5: Solve for x
    x = 255,577.64/314.72
  6. Step 6: Final answer
    x = 812.08

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.