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Finding the Third Proportional to 205,370 and 305,043

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Solution

The third proportional to 205,370 and 305,043 is: 453,090.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,370 : 305,043 = 305,043 : x
  2. Step 2: Convert to fraction form
    205,370/305,043 = 305,043/x
  3. Step 3: Cross multiply
    205,370x = 305,043 × 305,043
  4. Step 4: Simplify right side
    205,370x = 93,051,231,849
  5. Step 5: Solve for x
    x = 93,051,231,849/205,370
  6. Step 6: Final answer
    x = 453,090.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.