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Finding the Third Proportional to 201,116 and 433,106

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Solution

The third proportional to 201,116 and 433,106 is: 932,699.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,116 : 433,106 = 433,106 : x
  2. Step 2: Convert to fraction form
    201,116/433,106 = 433,106/x
  3. Step 3: Cross multiply
    201,116x = 433,106 × 433,106
  4. Step 4: Simplify right side
    201,116x = 187,580,807,236
  5. Step 5: Solve for x
    x = 187,580,807,236/201,116
  6. Step 6: Final answer
    x = 932,699.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.