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Finding the Third Proportional to 197,070 and 305,725.50

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Solution

The third proportional to 197,070 and 305,725.50 is: 474,288.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,070 : 305,725.50 = 305,725.50 : x
  2. Step 2: Convert to fraction form
    197,070/305,725.50 = 305,725.50/x
  3. Step 3: Cross multiply
    197,070x = 305,725.50 × 305,725.50
  4. Step 4: Simplify right side
    197,070x = 93,468,081,350.25
  5. Step 5: Solve for x
    x = 93,468,081,350.25/197,070
  6. Step 6: Final answer
    x = 474,288.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.