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Finding the Third Proportional to 114,533.50 and 232,144.50

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Solution

The third proportional to 114,533.50 and 232,144.50 is: 470,526.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,533.50 : 232,144.50 = 232,144.50 : x
  2. Step 2: Convert to fraction form
    114,533.50/232,144.50 = 232,144.50/x
  3. Step 3: Cross multiply
    114,533.50x = 232,144.50 × 232,144.50
  4. Step 4: Simplify right side
    114,533.50x = 53,891,068,880.25
  5. Step 5: Solve for x
    x = 53,891,068,880.25/114,533.50
  6. Step 6: Final answer
    x = 470,526.69

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.