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Finding the Third Proportional to 308,770 and 461,851

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Solution

The third proportional to 308,770 and 461,851 is: 690,826.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,770 : 461,851 = 461,851 : x
  2. Step 2: Convert to fraction form
    308,770/461,851 = 461,851/x
  3. Step 3: Cross multiply
    308,770x = 461,851 × 461,851
  4. Step 4: Simplify right side
    308,770x = 213,306,346,201
  5. Step 5: Solve for x
    x = 213,306,346,201/308,770
  6. Step 6: Final answer
    x = 690,826.01

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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.