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Finding the Third Proportional to 128,767.69 and 311,528.81

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Solution

The third proportional to 128,767.69 and 311,528.81 is: 753,684.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,767.69 : 311,528.81 = 311,528.81 : x
  2. Step 2: Convert to fraction form
    128,767.69/311,528.81 = 311,528.81/x
  3. Step 3: Cross multiply
    128,767.69x = 311,528.81 × 311,528.81
  4. Step 4: Simplify right side
    128,767.69x = 97,050,201,017.66
  5. Step 5: Solve for x
    x = 97,050,201,017.66/128,767.69
  6. Step 6: Final answer
    x = 753,684.43

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.