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Finding the Third Proportional to 115,488 and 240,154

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Solution

The third proportional to 115,488 and 240,154 is: 499,393.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,488 : 240,154 = 240,154 : x
  2. Step 2: Convert to fraction form
    115,488/240,154 = 240,154/x
  3. Step 3: Cross multiply
    115,488x = 240,154 × 240,154
  4. Step 4: Simplify right side
    115,488x = 57,673,943,716
  5. Step 5: Solve for x
    x = 57,673,943,716/115,488
  6. Step 6: Final answer
    x = 499,393.39

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.