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Finding the Third Proportional to 115,396 and 242,454

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Solution

The third proportional to 115,396 and 242,454 is: 509,410.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,396 : 242,454 = 242,454 : x
  2. Step 2: Convert to fraction form
    115,396/242,454 = 242,454/x
  3. Step 3: Cross multiply
    115,396x = 242,454 × 242,454
  4. Step 4: Simplify right side
    115,396x = 58,783,942,116
  5. Step 5: Solve for x
    x = 58,783,942,116/115,396
  6. Step 6: Final answer
    x = 509,410.57

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.