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Finding the Third Proportional to 205,280 and 315,120

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Solution

The third proportional to 205,280 and 315,120 is: 483,732.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,280 : 315,120 = 315,120 : x
  2. Step 2: Convert to fraction form
    205,280/315,120 = 315,120/x
  3. Step 3: Cross multiply
    205,280x = 315,120 × 315,120
  4. Step 4: Simplify right side
    205,280x = 99,300,614,400
  5. Step 5: Solve for x
    x = 99,300,614,400/205,280
  6. Step 6: Final answer
    x = 483,732.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.