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Finding the Third Proportional to 205,740 and 310,809

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Solution

The third proportional to 205,740 and 310,809 is: 469,535.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,740 : 310,809 = 310,809 : x
  2. Step 2: Convert to fraction form
    205,740/310,809 = 310,809/x
  3. Step 3: Cross multiply
    205,740x = 310,809 × 310,809
  4. Step 4: Simplify right side
    205,740x = 96,602,234,481
  5. Step 5: Solve for x
    x = 96,602,234,481/205,740
  6. Step 6: Final answer
    x = 469,535.50

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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.