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Finding the Third Proportional to 309,549 and 462,900

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Solution

The third proportional to 309,549 and 462,900 is: 692,221.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,549 : 462,900 = 462,900 : x
  2. Step 2: Convert to fraction form
    309,549/462,900 = 462,900/x
  3. Step 3: Cross multiply
    309,549x = 462,900 × 462,900
  4. Step 4: Simplify right side
    309,549x = 214,276,410,000
  5. Step 5: Solve for x
    x = 214,276,410,000/309,549
  6. Step 6: Final answer
    x = 692,221.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.