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Finding the Third Proportional to 155,611 and 240,322

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Solution

The third proportional to 155,611 and 240,322 is: 371,147.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,611 : 240,322 = 240,322 : x
  2. Step 2: Convert to fraction form
    155,611/240,322 = 240,322/x
  3. Step 3: Cross multiply
    155,611x = 240,322 × 240,322
  4. Step 4: Simplify right side
    155,611x = 57,754,663,684
  5. Step 5: Solve for x
    x = 57,754,663,684/155,611
  6. Step 6: Final answer
    x = 371,147.69

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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.