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Finding the Third Proportional to 201,823 and 316,637

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Solution

The third proportional to 201,823 and 316,637 is: 496,766.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,823 : 316,637 = 316,637 : x
  2. Step 2: Convert to fraction form
    201,823/316,637 = 316,637/x
  3. Step 3: Cross multiply
    201,823x = 316,637 × 316,637
  4. Step 4: Simplify right side
    201,823x = 100,258,989,769
  5. Step 5: Solve for x
    x = 100,258,989,769/201,823
  6. Step 6: Final answer
    x = 496,766.92

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.