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Finding the Third Proportional to 312,678 and 484,464

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Solution

The third proportional to 312,678 and 484,464 is: 750,629.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,678 : 484,464 = 484,464 : x
  2. Step 2: Convert to fraction form
    312,678/484,464 = 484,464/x
  3. Step 3: Cross multiply
    312,678x = 484,464 × 484,464
  4. Step 4: Simplify right side
    312,678x = 234,705,367,296
  5. Step 5: Solve for x
    x = 234,705,367,296/312,678
  6. Step 6: Final answer
    x = 750,629.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.