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Finding the Third Proportional to 312,648 and 484,836

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Solution

The third proportional to 312,648 and 484,836 is: 751,854.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,648 : 484,836 = 484,836 : x
  2. Step 2: Convert to fraction form
    312,648/484,836 = 484,836/x
  3. Step 3: Cross multiply
    312,648x = 484,836 × 484,836
  4. Step 4: Simplify right side
    312,648x = 235,065,946,896
  5. Step 5: Solve for x
    x = 235,065,946,896/312,648
  6. Step 6: Final answer
    x = 751,854.95

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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.