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Finding the Third Proportional to 201,278 and 430,742

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Solution

The third proportional to 201,278 and 430,742 is: 921,803.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,278 : 430,742 = 430,742 : x
  2. Step 2: Convert to fraction form
    201,278/430,742 = 430,742/x
  3. Step 3: Cross multiply
    201,278x = 430,742 × 430,742
  4. Step 4: Simplify right side
    201,278x = 185,538,670,564
  5. Step 5: Solve for x
    x = 185,538,670,564/201,278
  6. Step 6: Final answer
    x = 921,803.03

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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.