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Finding the Third Proportional to 205,420 and 315,606

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Solution

The third proportional to 205,420 and 315,606 is: 484,895.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,420 : 315,606 = 315,606 : x
  2. Step 2: Convert to fraction form
    205,420/315,606 = 315,606/x
  3. Step 3: Cross multiply
    205,420x = 315,606 × 315,606
  4. Step 4: Simplify right side
    205,420x = 99,607,147,236
  5. Step 5: Solve for x
    x = 99,607,147,236/205,420
  6. Step 6: Final answer
    x = 484,895.08

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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.