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Finding the Third Proportional to 155,511 and 240,138

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Solution

The third proportional to 155,511 and 240,138 is: 370,817.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,511 : 240,138 = 240,138 : x
  2. Step 2: Convert to fraction form
    155,511/240,138 = 240,138/x
  3. Step 3: Cross multiply
    155,511x = 240,138 × 240,138
  4. Step 4: Simplify right side
    155,511x = 57,666,259,044
  5. Step 5: Solve for x
    x = 57,666,259,044/155,511
  6. Step 6: Final answer
    x = 370,817.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.