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Finding the Third Proportional to 305,337.09 and 645,119.44

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Solution

The third proportional to 305,337.09 and 645,119.44 is: 1,363,015.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,337.09 : 645,119.44 = 645,119.44 : x
  2. Step 2: Convert to fraction form
    305,337.09/645,119.44 = 645,119.44/x
  3. Step 3: Cross multiply
    305,337.09x = 645,119.44 × 645,119.44
  4. Step 4: Simplify right side
    305,337.09x = 416,179,088,640.32
  5. Step 5: Solve for x
    x = 416,179,088,640.32/305,337.09
  6. Step 6: Final answer
    x = 1,363,015.16

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.