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Finding the Third Proportional to 201,709 and 312,317

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Solution

The third proportional to 201,709 and 312,317 is: 483,577.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,709 : 312,317 = 312,317 : x
  2. Step 2: Convert to fraction form
    201,709/312,317 = 312,317/x
  3. Step 3: Cross multiply
    201,709x = 312,317 × 312,317
  4. Step 4: Simplify right side
    201,709x = 97,541,908,489
  5. Step 5: Solve for x
    x = 97,541,908,489/201,709
  6. Step 6: Final answer
    x = 483,577.37

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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.