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Finding the Third Proportional to 245,888 and 538,080

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Solution

The third proportional to 245,888 and 538,080 is: 1,177,487.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,888 : 538,080 = 538,080 : x
  2. Step 2: Convert to fraction form
    245,888/538,080 = 538,080/x
  3. Step 3: Cross multiply
    245,888x = 538,080 × 538,080
  4. Step 4: Simplify right side
    245,888x = 289,530,086,400
  5. Step 5: Solve for x
    x = 289,530,086,400/245,888
  6. Step 6: Final answer
    x = 1,177,487.66

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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.