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Finding the Third Proportional to 356,851 and 769,410

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Solution

The third proportional to 356,851 and 769,410 is: 1,658,932.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,851 : 769,410 = 769,410 : x
  2. Step 2: Convert to fraction form
    356,851/769,410 = 769,410/x
  3. Step 3: Cross multiply
    356,851x = 769,410 × 769,410
  4. Step 4: Simplify right side
    356,851x = 591,991,748,100
  5. Step 5: Solve for x
    x = 591,991,748,100/356,851
  6. Step 6: Final answer
    x = 1,658,932.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.