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Finding the Third Proportional to 357,404 and 785,884

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Solution

The third proportional to 357,404 and 785,884 is: 1,728,054.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,404 : 785,884 = 785,884 : x
  2. Step 2: Convert to fraction form
    357,404/785,884 = 785,884/x
  3. Step 3: Cross multiply
    357,404x = 785,884 × 785,884
  4. Step 4: Simplify right side
    357,404x = 617,613,661,456
  5. Step 5: Solve for x
    x = 617,613,661,456/357,404
  6. Step 6: Final answer
    x = 1,728,054.70

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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.