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Finding the Third Proportional to 243.63 and 514.63

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Solution

The third proportional to 243.63 and 514.63 is: 1,087.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.63 : 514.63 = 514.63 : x
  2. Step 2: Convert to fraction form
    243.63/514.63 = 514.63/x
  3. Step 3: Cross multiply
    243.63x = 514.63 × 514.63
  4. Step 4: Simplify right side
    243.63x = 264,838.89
  5. Step 5: Solve for x
    x = 264,838.89/243.63
  6. Step 6: Final answer
    x = 1,087.08

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.