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Finding the Third Proportional to 115,134.75 and 242,878.50

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Solution

The third proportional to 115,134.75 and 242,878.50 is: 512,355.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,134.75 : 242,878.50 = 242,878.50 : x
  2. Step 2: Convert to fraction form
    115,134.75/242,878.50 = 242,878.50/x
  3. Step 3: Cross multiply
    115,134.75x = 242,878.50 × 242,878.50
  4. Step 4: Simplify right side
    115,134.75x = 58,989,965,762.25
  5. Step 5: Solve for x
    x = 58,989,965,762.25/115,134.75
  6. Step 6: Final answer
    x = 512,355.88

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.