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Finding the Third Proportional to 155,401 and 343,475

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Solution

The third proportional to 155,401 and 343,475 is: 759,165.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,401 : 343,475 = 343,475 : x
  2. Step 2: Convert to fraction form
    155,401/343,475 = 343,475/x
  3. Step 3: Cross multiply
    155,401x = 343,475 × 343,475
  4. Step 4: Simplify right side
    155,401x = 117,975,075,625
  5. Step 5: Solve for x
    x = 117,975,075,625/155,401
  6. Step 6: Final answer
    x = 759,165.49

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.