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Finding the Third Proportional to 68,947.45 and 105,425.93

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Solution

The third proportional to 68,947.45 and 105,425.93 is: 161,204.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,947.45 : 105,425.93 = 105,425.93 : x
  2. Step 2: Convert to fraction form
    68,947.45/105,425.93 = 105,425.93/x
  3. Step 3: Cross multiply
    68,947.45x = 105,425.93 × 105,425.93
  4. Step 4: Simplify right side
    68,947.45x = 11,114,626,650.47
  5. Step 5: Solve for x
    x = 11,114,626,650.47/68,947.45
  6. Step 6: Final answer
    x = 161,204.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.