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Finding the Third Proportional to 201,817 and 316,628

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Solution

The third proportional to 201,817 and 316,628 is: 496,753.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,817 : 316,628 = 316,628 : x
  2. Step 2: Convert to fraction form
    201,817/316,628 = 316,628/x
  3. Step 3: Cross multiply
    201,817x = 316,628 × 316,628
  4. Step 4: Simplify right side
    201,817x = 100,253,290,384
  5. Step 5: Solve for x
    x = 100,253,290,384/201,817
  6. Step 6: Final answer
    x = 496,753.45

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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.