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Finding the Third Proportional to 357,401 and 785,878

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Solution

The third proportional to 357,401 and 785,878 is: 1,728,042.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,401 : 785,878 = 785,878 : x
  2. Step 2: Convert to fraction form
    357,401/785,878 = 785,878/x
  3. Step 3: Cross multiply
    357,401x = 785,878 × 785,878
  4. Step 4: Simplify right side
    357,401x = 617,604,230,884
  5. Step 5: Solve for x
    x = 617,604,230,884/357,401
  6. Step 6: Final answer
    x = 1,728,042.82

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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.