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Finding the Third Proportional to 130,641.75 and 190,920.94

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Solution

The third proportional to 130,641.75 and 190,920.94 is: 279,013.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,641.75 : 190,920.94 = 190,920.94 : x
  2. Step 2: Convert to fraction form
    130,641.75/190,920.94 = 190,920.94/x
  3. Step 3: Cross multiply
    130,641.75x = 190,920.94 × 190,920.94
  4. Step 4: Simplify right side
    130,641.75x = 36,450,804,375.88
  5. Step 5: Solve for x
    x = 36,450,804,375.88/130,641.75
  6. Step 6: Final answer
    x = 279,013.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.