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Finding the Third Proportional to 309,554 and 462,906

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Solution

The third proportional to 309,554 and 462,906 is: 692,228.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,554 : 462,906 = 462,906 : x
  2. Step 2: Convert to fraction form
    309,554/462,906 = 462,906/x
  3. Step 3: Cross multiply
    309,554x = 462,906 × 462,906
  4. Step 4: Simplify right side
    309,554x = 214,281,964,836
  5. Step 5: Solve for x
    x = 214,281,964,836/309,554
  6. Step 6: Final answer
    x = 692,228.06

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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.