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Finding the Third Proportional to 201,053 and 311,433

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Solution

The third proportional to 201,053 and 311,433 is: 482,412.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,053 : 311,433 = 311,433 : x
  2. Step 2: Convert to fraction form
    201,053/311,433 = 311,433/x
  3. Step 3: Cross multiply
    201,053x = 311,433 × 311,433
  4. Step 4: Simplify right side
    201,053x = 96,990,513,489
  5. Step 5: Solve for x
    x = 96,990,513,489/201,053
  6. Step 6: Final answer
    x = 482,412.66

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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.