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Finding the Third Proportional to 243.21 and 511.52

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Solution

The third proportional to 243.21 and 511.52 is: 1,075.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.21 : 511.52 = 511.52 : x
  2. Step 2: Convert to fraction form
    243.21/511.52 = 511.52/x
  3. Step 3: Cross multiply
    243.21x = 511.52 × 511.52
  4. Step 4: Simplify right side
    243.21x = 261,656.23
  5. Step 5: Solve for x
    x = 261,656.23/243.21
  6. Step 6: Final answer
    x = 1,075.84

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.