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Finding the Third Proportional to 202,380 and 312,695

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Solution

The third proportional to 202,380 and 312,695 is: 483,141.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,380 : 312,695 = 312,695 : x
  2. Step 2: Convert to fraction form
    202,380/312,695 = 312,695/x
  3. Step 3: Cross multiply
    202,380x = 312,695 × 312,695
  4. Step 4: Simplify right side
    202,380x = 97,778,163,025
  5. Step 5: Solve for x
    x = 97,778,163,025/202,380
  6. Step 6: Final answer
    x = 483,141.43

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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.