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Finding the Third Proportional to 205,108 and 310,492

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Solution

The third proportional to 205,108 and 310,492 is: 470,022.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,108 : 310,492 = 310,492 : x
  2. Step 2: Convert to fraction form
    205,108/310,492 = 310,492/x
  3. Step 3: Cross multiply
    205,108x = 310,492 × 310,492
  4. Step 4: Simplify right side
    205,108x = 96,405,282,064
  5. Step 5: Solve for x
    x = 96,405,282,064/205,108
  6. Step 6: Final answer
    x = 470,022.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.