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Finding the Third Proportional to 228,519 and 347,643

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Solution

The third proportional to 228,519 and 347,643 is: 528,864.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,519 : 347,643 = 347,643 : x
  2. Step 2: Convert to fraction form
    228,519/347,643 = 347,643/x
  3. Step 3: Cross multiply
    228,519x = 347,643 × 347,643
  4. Step 4: Simplify right side
    228,519x = 120,855,655,449
  5. Step 5: Solve for x
    x = 120,855,655,449/228,519
  6. Step 6: Final answer
    x = 528,864.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.