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Finding the Third Proportional to 245.69 and 538.63

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Solution

The third proportional to 245.69 and 538.63 is: 1,180.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.69 : 538.63 = 538.63 : x
  2. Step 2: Convert to fraction form
    245.69/538.63 = 538.63/x
  3. Step 3: Cross multiply
    245.69x = 538.63 × 538.63
  4. Step 4: Simplify right side
    245.69x = 290,116.89
  5. Step 5: Solve for x
    x = 290,116.89/245.69
  6. Step 6: Final answer
    x = 1,180.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.