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Finding the Third Proportional to 321,912 and 509,620

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Solution

The third proportional to 321,912 and 509,620 is: 806,781.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,912 : 509,620 = 509,620 : x
  2. Step 2: Convert to fraction form
    321,912/509,620 = 509,620/x
  3. Step 3: Cross multiply
    321,912x = 509,620 × 509,620
  4. Step 4: Simplify right side
    321,912x = 259,712,544,400
  5. Step 5: Solve for x
    x = 259,712,544,400/321,912
  6. Step 6: Final answer
    x = 806,781.18

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.