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Finding the Third Proportional to 205,698 and 310,740

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Solution

The third proportional to 205,698 and 310,740 is: 469,422.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,698 : 310,740 = 310,740 : x
  2. Step 2: Convert to fraction form
    205,698/310,740 = 310,740/x
  3. Step 3: Cross multiply
    205,698x = 310,740 × 310,740
  4. Step 4: Simplify right side
    205,698x = 96,559,347,600
  5. Step 5: Solve for x
    x = 96,559,347,600/205,698
  6. Step 6: Final answer
    x = 469,422.88

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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.