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Finding the Third Proportional to 435.11 and 714.28

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Solution

The third proportional to 435.11 and 714.28 is: 1,172.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.11 : 714.28 = 714.28 : x
  2. Step 2: Convert to fraction form
    435.11/714.28 = 714.28/x
  3. Step 3: Cross multiply
    435.11x = 714.28 × 714.28
  4. Step 4: Simplify right side
    435.11x = 510,197.70
  5. Step 5: Solve for x
    x = 510,197.70/435.11
  6. Step 6: Final answer
    x = 1,172.57

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.