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Finding the Third Proportional to 201,762 and 312,213

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Solution

The third proportional to 201,762 and 312,213 is: 483,128.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,762 : 312,213 = 312,213 : x
  2. Step 2: Convert to fraction form
    201,762/312,213 = 312,213/x
  3. Step 3: Cross multiply
    201,762x = 312,213 × 312,213
  4. Step 4: Simplify right side
    201,762x = 97,476,957,369
  5. Step 5: Solve for x
    x = 97,476,957,369/201,762
  6. Step 6: Final answer
    x = 483,128.43

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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.