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Finding the Third Proportional to 205,280 and 314,907

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Solution

The third proportional to 205,280 and 314,907 is: 483,078.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,280 : 314,907 = 314,907 : x
  2. Step 2: Convert to fraction form
    205,280/314,907 = 314,907/x
  3. Step 3: Cross multiply
    205,280x = 314,907 × 314,907
  4. Step 4: Simplify right side
    205,280x = 99,166,418,649
  5. Step 5: Solve for x
    x = 99,166,418,649/205,280
  6. Step 6: Final answer
    x = 483,078.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.