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Finding the Third Proportional to 205,210 and 308,409

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Solution

The third proportional to 205,210 and 308,409 is: 463,506.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,210 : 308,409 = 308,409 : x
  2. Step 2: Convert to fraction form
    205,210/308,409 = 308,409/x
  3. Step 3: Cross multiply
    205,210x = 308,409 × 308,409
  4. Step 4: Simplify right side
    205,210x = 95,116,111,281
  5. Step 5: Solve for x
    x = 95,116,111,281/205,210
  6. Step 6: Final answer
    x = 463,506.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.