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Finding the Third Proportional to 505.13 and 714.94

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Solution

The third proportional to 505.13 and 714.94 is: 1,011.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.13 : 714.94 = 714.94 : x
  2. Step 2: Convert to fraction form
    505.13/714.94 = 714.94/x
  3. Step 3: Cross multiply
    505.13x = 714.94 × 714.94
  4. Step 4: Simplify right side
    505.13x = 511,135.63
  5. Step 5: Solve for x
    x = 511,135.63/505.13
  6. Step 6: Final answer
    x = 1,011.90

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.