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Finding the Third Proportional to 242.63 and 359.63

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Solution

The third proportional to 242.63 and 359.63 is: 533.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.63 : 359.63 = 359.63 : x
  2. Step 2: Convert to fraction form
    242.63/359.63 = 359.63/x
  3. Step 3: Cross multiply
    242.63x = 359.63 × 359.63
  4. Step 4: Simplify right side
    242.63x = 129,330.14
  5. Step 5: Solve for x
    x = 129,330.14/242.63
  6. Step 6: Final answer
    x = 533.05

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.