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Finding the Third Proportional to 357,450 and 785,745

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Solution

The third proportional to 357,450 and 785,745 is: 1,727,221.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,450 : 785,745 = 785,745 : x
  2. Step 2: Convert to fraction form
    357,450/785,745 = 785,745/x
  3. Step 3: Cross multiply
    357,450x = 785,745 × 785,745
  4. Step 4: Simplify right side
    357,450x = 617,395,205,025
  5. Step 5: Solve for x
    x = 617,395,205,025/357,450
  6. Step 6: Final answer
    x = 1,727,221.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.