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Finding the Third Proportional to 312,813 and 484,767

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Solution

The third proportional to 312,813 and 484,767 is: 751,244.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,813 : 484,767 = 484,767 : x
  2. Step 2: Convert to fraction form
    312,813/484,767 = 484,767/x
  3. Step 3: Cross multiply
    312,813x = 484,767 × 484,767
  4. Step 4: Simplify right side
    312,813x = 234,999,044,289
  5. Step 5: Solve for x
    x = 234,999,044,289/312,813
  6. Step 6: Final answer
    x = 751,244.50

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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.