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Finding the Third Proportional to 363,383.72 and 509,210.30

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Solution

The third proportional to 363,383.72 and 509,210.30 is: 713,557.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,383.72 : 509,210.30 = 509,210.30 : x
  2. Step 2: Convert to fraction form
    363,383.72/509,210.30 = 509,210.30/x
  3. Step 3: Cross multiply
    363,383.72x = 509,210.30 × 509,210.30
  4. Step 4: Simplify right side
    363,383.72x = 259,295,126,443.53
  5. Step 5: Solve for x
    x = 259,295,126,443.53/363,383.72
  6. Step 6: Final answer
    x = 713,557.36

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.