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Finding the Third Proportional to 201,275 and 430,738

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Solution

The third proportional to 201,275 and 430,738 is: 921,799.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,275 : 430,738 = 430,738 : x
  2. Step 2: Convert to fraction form
    201,275/430,738 = 430,738/x
  3. Step 3: Cross multiply
    201,275x = 430,738 × 430,738
  4. Step 4: Simplify right side
    201,275x = 185,535,224,644
  5. Step 5: Solve for x
    x = 185,535,224,644/201,275
  6. Step 6: Final answer
    x = 921,799.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.