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Finding the Third Proportional to 309,548 and 462,899

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Solution

The third proportional to 309,548 and 462,899 is: 692,220.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,548 : 462,899 = 462,899 : x
  2. Step 2: Convert to fraction form
    309,548/462,899 = 462,899/x
  3. Step 3: Cross multiply
    309,548x = 462,899 × 462,899
  4. Step 4: Simplify right side
    309,548x = 214,275,484,201
  5. Step 5: Solve for x
    x = 214,275,484,201/309,548
  6. Step 6: Final answer
    x = 692,220.54

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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.