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Finding the Third Proportional to 357,455 and 785,755

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Solution

The third proportional to 357,455 and 785,755 is: 1,727,240.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,455 : 785,755 = 785,755 : x
  2. Step 2: Convert to fraction form
    357,455/785,755 = 785,755/x
  3. Step 3: Cross multiply
    357,455x = 785,755 × 785,755
  4. Step 4: Simplify right side
    357,455x = 617,410,920,025
  5. Step 5: Solve for x
    x = 617,410,920,025/357,455
  6. Step 6: Final answer
    x = 1,727,240.97

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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.