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Finding the Third Proportional to 756,747.56 and 1,133,036.86

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Solution

The third proportional to 756,747.56 and 1,133,036.86 is: 1,696,434.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    756,747.56 : 1,133,036.86 = 1,133,036.86 : x
  2. Step 2: Convert to fraction form
    756,747.56/1,133,036.86 = 1,133,036.86/x
  3. Step 3: Cross multiply
    756,747.56x = 1,133,036.86 × 1,133,036.86
  4. Step 4: Simplify right side
    756,747.56x = 1,283,772,524,702.36
  5. Step 5: Solve for x
    x = 1,283,772,524,702.36/756,747.56
  6. Step 6: Final answer
    x = 1,696,434.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.