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Finding the Third Proportional to 205,620 and 314,262

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Solution

The third proportional to 205,620 and 314,262 is: 480,306.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,620 : 314,262 = 314,262 : x
  2. Step 2: Convert to fraction form
    205,620/314,262 = 314,262/x
  3. Step 3: Cross multiply
    205,620x = 314,262 × 314,262
  4. Step 4: Simplify right side
    205,620x = 98,760,604,644
  5. Step 5: Solve for x
    x = 98,760,604,644/205,620
  6. Step 6: Final answer
    x = 480,306.41

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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.