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Finding the Third Proportional to 203,085 and 315,730.50

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Solution

The third proportional to 203,085 and 315,730.50 is: 490,857.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,085 : 315,730.50 = 315,730.50 : x
  2. Step 2: Convert to fraction form
    203,085/315,730.50 = 315,730.50/x
  3. Step 3: Cross multiply
    203,085x = 315,730.50 × 315,730.50
  4. Step 4: Simplify right side
    203,085x = 99,685,748,630.25
  5. Step 5: Solve for x
    x = 99,685,748,630.25/203,085
  6. Step 6: Final answer
    x = 490,857.27

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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.