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Finding the Third Proportional to 204,478.50 and 310,392

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Solution

The third proportional to 204,478.50 and 310,392 is: 471,165.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,478.50 : 310,392 = 310,392 : x
  2. Step 2: Convert to fraction form
    204,478.50/310,392 = 310,392/x
  3. Step 3: Cross multiply
    204,478.50x = 310,392 × 310,392
  4. Step 4: Simplify right side
    204,478.50x = 96,343,193,664
  5. Step 5: Solve for x
    x = 96,343,193,664/204,478.50
  6. Step 6: Final answer
    x = 471,165.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.